The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A061159 Numerators in expansion of Euler transform of b(n) = 1/2. 4
 1, 1, 7, 17, 203, 455, 2723, 6001, 133107, 312011, 1613529, 3705303, 39159519, 88466147, 443939867, 1041952049, 40842931395, 93889422323, 460998957853, 1054706036923, 10194929714949, 23513104814105, 111438617932133, 255719229005751, 4864448363248503 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Denominators of c(n) are 2^d(n), where d(n)=power of 2 in (2n)!, cf. A005187. LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 Geoffrey B. Campbell, Some n-space q-binomial theorem extensions and similar identities, arXiv:1906.07526 [math.NT], 2019. Geoffrey B. Campbell, A. Zujev, Some almost partition theoretic identities, Preprint, 2016 N. J. A. Sloane, Transforms FORMULA Numerators of c(n), where c(n)=1/(2*n)*Sum_{k=1..n} c(n-k)*sigma(k), n>0, c(0)=1. MAPLE b:= proc(n) option remember; `if`(n=0, 1, add(add(       d/2, d=numtheory[divisors](j))*b(n-j), j=1..n)/n)     end: a:= n-> numer(b(n)): seq(a(n), n=0..35);  # Alois P. Heinz, Jul 28 2017 CROSSREFS Cf. A000712, A061160, A061161. Sequence in context: A325584 A214149 A147643 * A178694 A140122 A092240 Adjacent sequences:  A061156 A061157 A061158 * A061160 A061161 A061162 KEYWORD easy,nonn,frac AUTHOR Vladeta Jovovic, Apr 17 2001 STATUS approved

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

Last modified October 29 13:26 EDT 2020. Contains 338066 sequences. (Running on oeis4.)