

A114278


A triangle generated by a family of Sierpinskitriangle 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
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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}/(1x)^(k+1); Column k has g.f. x^k*sum{j=0..k, A001316(j)*A114280(k, j)*x^j/(1x)^(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



