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A091562 Triangle read by rows, related to Pascal's triangle. 3
1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 5, 7, 5, 2, 3, 10, 17, 17, 10, 3, 5, 20, 41, 51, 41, 20, 5, 8, 38, 91, 136, 136, 91, 38, 8, 13, 71, 195, 339, 405, 339, 195, 71, 13, 21, 130, 403, 799, 1107, 1107, 799, 403, 130, 21, 34, 235, 812, 1807, 2845, 3297, 2845, 1807, 812, 235 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

Table of n, a(n) for n=0..64.

FORMULA

T(n, k) = T(n-1, k) + T(n-1, k-1) + T(n-2, k) + T(n-2, k-1) + T(n-2, j-2) for n >= 2, k >= 0, with initial conditions specified by first two rows.

G.f. A(x, y) = (1-x-x*y)/(1-x-x*y-x^2-x^2*y-x^2*y^2).

EXAMPLE

1; 0,0; 1,1,1; 1,2,2,1; 2,5,7,5,2; ...

CROSSREFS

Row sums: A054878. Columns 0-1: A000045(n-1), A001629.

Cf. A090172.

Sequence in context: A059594 A183760 A125678 * A106585 A057227 A335190

Adjacent sequences:  A091559 A091560 A091561 * A091563 A091564 A091565

KEYWORD

nonn,easy,tabl

AUTHOR

Christian G. Bower, Jan 20 2004

STATUS

approved

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Last modified August 15 00:20 EDT 2020. Contains 336484 sequences. (Running on oeis4.)