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 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 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: A030438 A012723 A069150 * A046977 A309205 A279331 Adjacent sequences:  A323488 A323489 A323490 * A323492 A323493 A323494 KEYWORD nonn,frac AUTHOR Michel Marcus, Jan 16 2019 STATUS approved

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Last modified February 24 22:57 EST 2020. Contains 332216 sequences. (Running on oeis4.)