

A205575


Triangle read by rows, related to Pascal's triangle.


1



1, 1, 0, 2, 2, 1, 3, 5, 4, 1, 5, 12, 14, 8, 2, 8, 25, 38, 32, 15, 3, 13, 50, 94, 104, 71, 28, 5, 21, 96, 215, 293, 260, 149, 51, 8, 34, 180, 468, 756, 822, 612, 304, 92, 13, 55, 371, 980, 1924, 2346, 2136, 1376, 604, 164, 21
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OFFSET

0,4


COMMENTS

Antidiagonal sums are in A052980, row sums are in A046717.
Similar to A091533 and to A091562. Triangle satisfying the same recurrence as A091533 and A091562, but with the initial values T(0,0) = 1, T(0,1) = 1, T(1,1) = 0.


LINKS

Table of n, a(n) for n=0..54.


FORMULA

T(n,k) = T(n1,k) + T(n1,k1) + T(n2,k) + T(n2,k1) + T(n2,k2) for n>=2, k>=0, with initial conditions specified by first two rows . T(0,0) = 1, T(1,0) = 1, T(1,1) = 0.


EXAMPLE

Triangle begins :
1
1, 0
2, 2, 1
3, 5, 4, 1
5, 12, 14, 8, 2
8, 25, 38, 32, 15, 3
13, 50, 94, 104, 71, 28, 5


CROSSREFS

Cf. Column : A000045, Diagonals : A000045, A029907, A036681
Sequence in context: A099514 A228352 A303911 * A257006 A139687 A188181
Adjacent sequences: A205572 A205573 A205574 * A205576 A205577 A205578


KEYWORD

nonn,tabl


AUTHOR

Philippe Deléham, Jan 29 2012


STATUS

approved



