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 A067296 Fifth column of triangle A028364. 2
 42, 90, 255, 785, 2529, 8398, 28511, 98462, 344720, 1220532, 4362438, 15718149, 57028063, 208164950, 763915215, 2816707650, 10429892340, 38768134380, 144600329250, 541036998090, 2030157909234, 7637910332556 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Table of n, a(n) for n=0..21. FORMULA a(n)= A028364(n+4, 4) = sum(C(k)C(n+4-k), k=0..4), with the Catalan numbers C(n)=A000108(n). a(n)= ((193n^4+1727*n^3+5303*n^2+6457*n+2520)/(8*(2*n+1)*(2*n+3)*(2*n+5)*(2*n+7)))*C(n+4). G.f.: (c4(x)*c(x)-(c4(x)-1)/x)/x^4, with c4(x) := sum(C(k)*x^k, k=0..4) and c(x) g.f. for Catalan numbers A000108. CROSSREFS Cf. A067295 (fourth column). Sequence in context: A300603 A301328 A370521 * A044180 A044561 A169680 Adjacent sequences: A067293 A067294 A067295 * A067297 A067298 A067299 KEYWORD nonn,easy AUTHOR Wolfdieter Lang, Feb 05 2002 STATUS approved

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Last modified June 20 15:48 EDT 2024. Contains 373526 sequences. (Running on oeis4.)