The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A365898 Expansion of e.g.f. exp( Sum_{k>=0} x^(4*k+5) / (4*k+5)! ). 4
 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 126, 0, 0, 1, 2002, 126126, 0, 1, 32878, 11639628, 488864376, 1, 523754, 962159506, 164910249504, 5194672859377, 8390630, 79198593760, 44919303188760, 4895979169961881, 123378675217248882, 6434084214390, 11762691848427520 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,11 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..609 FORMULA a(0) = 1; a(n) = Sum_{k=0..floor((n-5)/4)} binomial(n-1,4*k+4) * a(n-4*k-5). E.g.f.: exp( -x + (sinh(x) + sin(x))/2 ). PROG (PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=0, N\4, x^(4*k+5)/(4*k+5)!)))) CROSSREFS Cf. A057814, A365896, A365897. Sequence in context: A013836 A048563 A239060 * A318257 A110825 A365897 Adjacent sequences: A365895 A365896 A365897 * A365899 A365900 A365901 KEYWORD nonn AUTHOR Seiichi Manyama, Sep 22 2023 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 24 23:28 EDT 2024. Contains 373691 sequences. (Running on oeis4.)