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

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A323491 Denominators of the sequence c(n) satisfying Sum_{k=0..n} c(k)/(n+k+1) = 0 with c(0)=1. 1
 1, 2, 24, 720, 4480, 3628800, 68428800, 118609920, 20922789888000, 6402373705728000, 115852476579840000, 1124000727777607680000, 1909072005333044428800, 1148978521728221184000000, 12195533784468554420060160000, 53050571962438211727261696000000, 7973661725263440308097515520000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..16. Alexander Kalmynin, Petr Kosenko, Orthorecursive expansion of unity, arXiv:1901.04044 [math.NT], 2019. EXAMPLE The sequence c(n) begins: 1, -3/2, 5/24, 77/720, 277/4480, 140173/3628800, ... PROG (PARI) lista(nn) = {my(c0 = 1, vc = vector(nn)); for (n=1, nn, vc[n] = -(2*n+1)*(c0/(n+1) + sum(k=1, n-1, vc[k]/(n+k+1))); ); apply(x->numerator(x), concat([c0], vc)); } CROSSREFS Cf. A323490 (numerators). Sequence in context: A012723 A354335 A069150 * A046977 A309205 A279331 Adjacent sequences: A323488 A323489 A323490 * A323492 A323493 A323494 KEYWORD nonn,frac AUTHOR Michel Marcus, Jan 16 2019 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 December 9 06:55 EST 2023. Contains 367685 sequences. (Running on oeis4.)