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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

Table of n, a(n) for n=0..54.

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.)