A general two-term recurrence

نویسنده

  • Jamie Simpson
چکیده

The recurrence is significant since if we set ai = 0, bi = i for all i we get the Stirling numbers of the second kind, and if we set ai = bi = i for all i we get the Lah numbers. The Lah numbers count the partitions of an n-set into blocks of size k in which the numbers in each block are ordered. The proof in [1] involves generating functions and is rather long. Here we give a short induction proof.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Long term follow up of recurrent uterine cervical cancer: A Case Report

Background and Aim: Carcinoma of the uterine cervix is a significant cause of mortality because of malignancy in women. Radiotherapy is a major treatment modality for invasive cervical cancer with good treatment outcome in early-stage patients. However, substantial treatment failures still occur in the advanced-stage patients. In this case report a long term follow up of a 58 years old woman wi...

متن کامل

Comparison of outcomes in four different surgical methods for sacral pilonidal sinus with long-term follows-up

Background: Sacrococcygeal pilonidal disease (PD) is prevalent in the young adults. The cause of PD is unclear, and there are different surgical procedures for the treatment. The Pilonidal sinus disease is an unpleasant, chronic relapsing condition that is difficult to cure. There is a wide variety of surgical treatments with sub-optimal results for it. The ideal treatment for the pilonidal sin...

متن کامل

A general two-term recurrence and its solution

We find a general explicit formula for all sequences satisfying a two-term recurrence of a certain kind. This generalizes familiar formulas for the Stirling and Lah numbers.

متن کامل

نتایج تونسیلوتومی با رادیوفرکانس در بزرگسالان مبتلا به تونسیلیت راجعه

  Backgrounds : Tonsil reduction by use of Radiofrequency waves is one of the newest therapeutic modalities, especially for obstructive large tonsils. The aim of this study was comparing short term and long term results of radiofrequency tonsillotomy and traditional cold dissection tonsillectomy in adult patients with recurrent tonsillitis.   Methods : a prospective randomized clinical trial on...

متن کامل

Accuracy of Two Three-term and Three Two-term Recurrences for Krylov Space Solvers

It has been widely observed that Krylov space solvers based on two three term re currences can give signi cantly less accurate residuals than mathematically equivalent solvers implemented with three two term recurrences In this paper we attempt to justify this di erence theoretically by analyzing the gap between the recursively and the explicitly computed residuals It is shown that in contrast ...

متن کامل

Comparison the Recurrence Rate of Intervertebral Disc Herniation in Two Surgical Methods of Hemi laminectomy and Partial Laminectomy

Background & Aims: Between 5% and 15% of patients with low back pain suffer from lumbar disc herniation, so intervertebral disc disease is one of the most common causes of low back pain. Surgical intervention for lumbar disc herniation is recommended in patients with severe symptoms and has hopeful results. Although surgery can reduce pain and improve physical function in the short term, its lo...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • Eur. J. Comb.

دوره 34  شماره 

صفحات  -

تاریخ انتشار 2013