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 A127501 Triangle read by rows :T(n,k)=Sum_{j, j>=0}A089942(n,j)*binomial(j,k). 0
 1, 1, 1, 3, 3, 1, 7, 10, 5, 1, 19, 31, 21, 7, 1, 51, 96, 79, 36, 9, 1, 141, 294, 282, 159, 55, 11, 1, 393, 897, 972, 645, 279, 78, 13, 1, 1107, 2727, 3273, 2475, 1269, 447, 105, 15, 1, 3139, 8272, 10835, 9136, 5369, 2254, 671, 136, 17, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Riordan array (1/sqrt(1-2*x-3*x^2), (1+x-sqrt(1-2*x-3*x^2))/(2*sqrt(1-2*x-3*x^2)). - Philippe Deléham, Mar 06 2013 LINKS FORMULA T(n+1,1)=A055217(n) . Sum_{k, 0<=k<=n}T(n,k)*x^k = A033999(n), A005043(n), A002426(n), A112657(n) for x = -2, -1, 0, 1 respectively. EXAMPLE Triangle begins: 1; 1, 1; 3, 3, 1; 7, 10, 5, 1; 19, 31, 21, 7, 1; 51, 96, 79, 36, 9, 1; 141, 294, 282, 159, 55, 11, 1; 393, 897, 972, 645, 279, 78, 13, 1; 1107, 2727, 3273, 2475, 1269, 447, 105, 15, 1; 3139, 8272, 10835, 9136, 5369, 2254, 671, 136, 17, 1; ... CROSSREFS Sequence in context: A116401 A106479 A114422 * A181304 A118408 A079268 Adjacent sequences:  A127498 A127499 A127500 * A127502 A127503 A127504 KEYWORD nonn,tabl AUTHOR Philippe Deléham, Apr 01 2007 STATUS approved

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Last modified January 19 09:35 EST 2020. Contains 331048 sequences. (Running on oeis4.)