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A114278 A triangle generated by a family of Sierpinski-triangle related polynomials. 2
1, 1, 1, 1, 3, 1, 1, 5, 3, 1, 1, 7, 7, 5, 1, 1, 9, 13, 15, 5, 1, 1, 11, 21, 35, 15, 7, 1, 1, 13, 31, 69, 35, 27, 7, 1, 1, 15, 43, 121, 71, 77, 29, 9, 1, 1, 17, 57, 195, 131, 183, 91, 45, 9, 1, 1, 19, 73, 295, 225, 385, 239, 165, 45, 11, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Inverse has row sums 0^n (conjecture). Row sums are A114279.

LINKS

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

FORMULA

Column k has g.f. x^k*sum{j=0..k, mod(C(k, j), 2)*x^j}/(1-x)^(k+1); Column k has g.f. x^k*sum{j=0..k, A001316(j)*A114280(k, j)*x^j/(1-x)^(j+1)}.

EXAMPLE

Triangle begins

1;

1, 1;

1, 3, 1;

1, 5, 3, 1;

1, 7, 7, 5, 1;

1, 9,13,15, 5, 1;

1,11,21,35,15, 7, 1;

CROSSREFS

Sequence in context: A181109 A152720 A131247 * A134836 A180955 A191751

Adjacent sequences:  A114275 A114276 A114277 * A114279 A114280 A114281

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry, Nov 20 2005

STATUS

approved

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Last modified February 21 15:11 EST 2019. Contains 320374 sequences. (Running on oeis4.)