

A134232


A007318 * M, where M = triangle in which row n consists of n1 zeros followed by 2n1, n+1.


1



1, 2, 2, 3, 7, 3, 4, 15, 14, 4, 5, 26, 38, 23, 5, 6, 40, 80, 75, 34, 6, 7, 57, 145, 185, 129, 47, 7, 8, 77, 238, 385, 364, 203, 62, 8, 0, 9, 100, 364, 714, 854, 644, 300, 79, 9, 10, 126, 528, 1218, 1764, 1680, 1056, 423, 98, 10
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OFFSET

0,2


COMMENTS

Row sums = A048474: (1, 4, 13, 37, 97, 241, 577, ...).


LINKS

Table of n, a(n) for n=0..55.


FORMULA

Binomial transform of an infinite lower triangular matrix with rows = (n1) zeros followed by (2n1), (n+1). A007318 * an infinite lower triangular matrix with (1,2,3,...) in the main diagonal, (1,3,5,...) in the subdiagonal and the rest zeros.


EXAMPLE

First few rows of the triangle:
1;
2, 2;
3, 7, 3;
4, 15, 14, 4;
5, 26, 38, 23, 5;
6, 40, 80, 75, 34, 6;
7, 57, 145, 185, 129, 47, 7;
...


CROSSREFS

Cf. A048474.
Sequence in context: A210188 A183442 A296019 * A123934 A208151 A203362
Adjacent sequences: A134229 A134230 A134231 * A134233 A134234 A134235


KEYWORD

nonn,tabl


AUTHOR

Gary W. Adamson, Oct 14 2007


STATUS

approved



