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A112294 Diagonal sums of number triangle A112292. 1
1, 1, 4, 18, 121, 1055, 11376, 145852, 2165689, 36532197, 689873284, 14415662558, 330204013569, 8226714806323, 221470234531456, 6406397898751320, 198160750081637521, 6526636388676159977, 228040136335670652324 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..18.

FORMULA

a(n)=sum{k=0..floor(n/2), (2n-2k-1)!!/(2k-1)!!}; a(n)=sum{k=0..floor(n/2), 2^(n-2k)(n-k-1/2)!/(k-1/2)!}; a(n)=sum{k=0..floor(n/2), (n-k)!C(2n-2k, n-k)2^(2k-n)/(k!C(2k, k))}; a(n)=sum{k=0..floor(n/2), (n-k+1)!*C(n-k)2^(2k-n)/((k+1)!*C(k))}.

CROSSREFS

Sequence in context: A005442 A306881 A084661 * A292500 A228065 A317377

Adjacent sequences:  A112291 A112292 A112293 * A112295 A112296 A112297

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Sep 01 2005

STATUS

approved

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Last modified July 24 05:05 EDT 2021. Contains 346273 sequences. (Running on oeis4.)