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A014473 Pascal's triangle - 1. +0
8
0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 3, 5, 3, 0, 0, 4, 9, 9, 4, 0, 0, 5, 14, 19, 14, 5, 0, 0, 6, 20, 34, 34, 20, 6, 0, 0, 7, 27, 55, 69, 55, 27, 7, 0, 0, 8, 35, 83, 125, 125, 83, 35, 8, 0, 0, 9, 44, 119, 209, 251, 209, 119, 44, 9, 0, 0, 10, 54, 164, 329, 461, 461, 329, 164, 54, 10, 0, 0 (list; table; graph; listen)
OFFSET

0,8

FORMULA

G.f.: x^2y / [(1-x)*(1-xy)*(1-x(1+y)) ]. - R. Stephan, Jan 24 2005

MAPLE

with(combstruct):for n from 0 to 11 do seq(-1+count(Combination(n), size=m), m = 0 .. n) od; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 09 2008

CROSSREFS

A007318(n) - 1.

Columns include A000096, A062748, A063258, A062988. Row sums are in A000295. Central column is in A030662.

Triangle without zeros: A014430.

Sequence in context: A067138 A059692 A004247 this_sequence A101164 A062275 A138270

Adjacent sequences: A014470 A014471 A014472 this_sequence A014474 A014475 A014476

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Erich Friedman (erich.friedman(AT)stetson.edu).

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Last modified December 4 15:11 EST 2009. Contains 170347 sequences.


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