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 A194122 Triangular array: T(n,k) = C(n+4,k) + C(n+4,k+1) + C(n+4,k+2) + C(n+4,k+3) + C(n+4,k+4), 0 <= k <= n. 2
 16, 31, 31, 57, 62, 57, 99, 119, 119, 99, 163, 218, 238, 218, 163, 256, 381, 456, 456, 381, 256, 386, 637, 837, 912, 837, 637, 386, 562, 1023, 1474, 1749, 1749, 1474, 1023, 562, 794, 1585, 2497, 3223, 3498, 3223, 2497, 1585, 794, 1093, 2379, 4082 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Muniru A Asiru, Rows n = 0..150 of triangle, flattened EXAMPLE Triangle begins: 16; 31, 31; 57, 62, 57; 99, 119, 119, 99; 163, 218, 238, 218, 163; MAPLE A194122 := proc(n, k) add(binomial(n+4, k+j), j=0..4) ; end proc: # R. J. Mathar, Aug 25 2011 MATHEMATICA T[n_, k_] := Sum[Binomial[n + 4, k + j], {j, 0, 4}] Flatten[Table[T[n, k], {n, 0, 10}, {k, 0, n}]] (* as a sequence *) TableForm[Table[T[n, k], {n, 0, 10}, {k, 0, n}]] (* as an array *) PROG (GAP) Flat(List([0..9], n->List([0..n], k->Sum([0..4], j->Binomial(n+4, k+j))))); # Muniru A Asiru, Mar 17 2019 CROSSREFS Cf. A192915. Sequence in context: A186453 A129617 A221257 * A257349 A167997 A185979 Adjacent sequences: A194119 A194120 A194121 * A194123 A194124 A194125 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Aug 16 2011 STATUS approved

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Last modified June 15 22:50 EDT 2024. Contains 373412 sequences. (Running on oeis4.)