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 A193451 Triangle of a binomial convolution sum related to Jacobsthal numbers. 2
 0, 0, 1, 0, 3, 3, 0, 5, 8, 2, 0, 7, 17, 14, 6, 0, 9, 30, 39, 24, 3, 0, 11, 47, 83, 75, 33, 9, 0, 13, 68, 152, 184, 126, 48, 4, 0, 15, 93, 252, 384, 354, 198, 60, 12, 0, 17, 122, 389, 716, 830, 620, 290, 80, 5, 0, 19, 155, 569, 1229, 1718, 1610, 1010, 410, 95, 15 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Row sum is A193449(n) = n*A001045(n+1). LINKS Table of n, a(n) for n=0..65. FORMULA T(n,k)= sum( (-1)^(j+k)*(j+k)*C(n-k+j,j), j=0..k). EXAMPLE Triangle starts: 0; 0, 1; 0, 3, 3; 0, 5, 8, 2; 0, 7, 17, 14, 6; 0, 9, 30, 39, 24, 3; ... PROG (PARI) T(n, k)= sum(j=0, k, (-1)^(j+k)*(j+k)*binomial(n-k+j, j)); \\ Michel Marcus, Jun 04 2014 CROSSREFS Cf. A193449, A193450, A001045. Sequence in context: A353327 A072689 A021972 * A335809 A322215 A244492 Adjacent sequences: A193448 A193449 A193450 * A193452 A193453 A193454 KEYWORD nonn,easy,tabl AUTHOR Olivier Gérard, Jul 26 2011 STATUS approved

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Last modified August 13 20:02 EDT 2024. Contains 375144 sequences. (Running on oeis4.)