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A114280 A triangle related to the Sierpinski related number triangle A114278. 4
1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 3, 1, 1, 1, 3, 7, 4, 5, 1, 1, 3, 8, 6, 11, 3, 1, 1, 4, 14, 14, 35, 14, 7, 1, 1, 4, 14, 14, 35, 14, 7, 1, 1, 1, 5, 22, 28, 91, 49, 35, 8, 9, 1, 1, 5, 23, 32, 119, 77, 70, 22, 37, 5, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

COMMENTS

Constructed as follows: Take inverse binomial transform of square array associated to A114278. Multiply by diagonal matrix with reciprocal of Gould numbers A001316 on diagonal. Transpose. The k-th column of A114278 has g.f. given by x^k*sum{j=0..k, A001316(j)*A114280(k,j)*x^j/(1-x)^(j+1)}. Row sums are A114281. Inverse has row sums 0^n (conjecture).

LINKS

Table of n, a(n) for n=0..65.

EXAMPLE

Triangle begins

1;

1, 1;

1, 1, 1;

1, 2, 3, 1;

1, 2, 3, 1, 1;

1, 3, 7, 4, 5, 1;

1, 3, 8, 6,11, 3, 1;

1, 4,14,14,35,14, 7, 1;

1, 4,14,14,35,14, 7, 1, 1;

CROSSREFS

Sequence in context: A070913 A266743 A284050 * A123564 A065882 A276327

Adjacent sequences:  A114277 A114278 A114279 * A114281 A114282 A114283

KEYWORD

nonn,tabl

AUTHOR

Paul Barry, Nov 20 2005

STATUS

approved

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Last modified March 19 13:08 EDT 2019. Contains 321330 sequences. (Running on oeis4.)