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Search: id:A061053
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| A061053 |
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(n+1)! sum{k=0 to n}[binomial(2k,k) B_{n-k}], where B_n is n-th Bernoulli number. |
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+0
1
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| 1, 3, 31, 416, 7316, 158592, 4079832, 121418880, 4102640064, 155127605760, 6488944560000, 297483185986560, 14831664692912640, 798949604318423040, 46240823333993702400, 2861614126455843225600, 188557593322666066329600
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,100
Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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a(3) = 4! *(binomial(0,0) B_3 + binomial(2,1) B_2 + binomial(4,2) B_1 + binomial(6,3) B_0) = 24 *(1 *0 + 2 *(1/6) + 6 *(-1/2) + 20 *1) = 416.
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PROGRAM
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(PARI) { default(realprecision, 500); for (n=0, 100, a=(n + 1)!*sum(k=0, n, binomial(2*k, k)*bernreal(n - k)); write("b061053.txt", n, " ", round(a)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 17 2009]
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CROSSREFS
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Sequence in context: A014178 A123818 A087591 this_sequence A047798 A126346 A142999
Adjacent sequences: A061050 A061051 A061052 this_sequence A061054 A061055 A061056
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KEYWORD
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easy,nonn
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AUTHOR
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Leroy Quet May 26 2001
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