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A171368 Another version of A126216. 2
1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 5, 0, 1, 0, 0, 5, 0, 9, 0, 1, 0, 0, 0, 21, 0, 14, 0, 1, 0, 0, 14, 0, 56, 0, 20, 0, 1, 0, 0, 0, 84, 0, 120, 0, 27, 0, 1, 0, 0, 42, 0, 300, 0, 225, 0, 35, 0, 1, 0, 0, 0, 330, 0, 825, 0, 385, 0, 44, 0, 1, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,11

COMMENTS

Expansion of the first column of the triangle T_(0,x), T_(x,y) defined in A039599; T_(0,0)= A053121, T_(0,1)= A089942, T_(0,2)= A126093, T_(0,3)= A126970.

LINKS

Table of n, a(n) for n=0..77.

FORMULA

Sum_{k, 0<=k<=n} T(n,k)*x^k = A099323(n+1), A126120(n), A005043(n), A000957(n+1), A117641(n) for x = -1, 0, 1, 2, 3 respectively.

EXAMPLE

Triangle begins : 1 ; 0,0 ; 1,0,0 ; 0,1,0,0 ; 2,0,1,0,0 ; 0,5,0,1,0,0 ; 5,0,9,0,1,0,0 ; ...

CROSSREFS

Cf. A000108, A001003,

Sequence in context: A165408 A186733 A332042 * A322353 A133988 A089812

Adjacent sequences:  A171365 A171366 A171367 * A171369 A171370 A171371

KEYWORD

nonn,tabl

AUTHOR

Philippe Deléham, Dec 06 2009

STATUS

approved

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Last modified July 26 20:28 EDT 2021. Contains 346295 sequences. (Running on oeis4.)