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A198793 Triangle T(n,k), read by rows, given by (1,0,0,1,0,0,0,0,0,0,0,...) DELTA (0,1,1,0,0,0,0,0,0,0,0,...) where DELTA is the operator defined in A084938. 1
1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 3, 6, 4, 0, 1, 4, 12, 16, 8, 0, 1, 5, 20, 40, 40, 16, 0, 1, 6, 30, 80, 120, 96, 32, 0, 1, 7, 42, 140, 280, 336, 224, 64, 0, 1, 8, 56, 224, 560, 896, 896, 512, 128, 0, 1, 9, 72, 336, 1008, 2016, 2688, 2304, 1152, 256, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

COMMENTS

Mirror image of A198792.

Variant of A082137.

LINKS

Table of n, a(n) for n=0..65.

FORMULA

Sum_ {0<=k<=n} T(n,k) = A124302(n).

G.f.:(1-x*(1+2y)+x^2*y)/((1-x)*(1-(1+2y)*x)).

T(n,k) = 2*T(n-1,k) + 2*T(n-1,k-1) - T(n-2,k) - 2*T(n-2,k-1) for n>2, T(0,0) = T(1,0) = T(2,0) = T(2,1) = 1, T(1,1) = T(2,2) = 0, T(n,k) = 0 if k<0 or if k>n. - Philippe Deléham, Nov 10 2013

EXAMPLE

Triangle begins :

1

1, 0

1, 1, 0

1, 2, 2, 0

1, 3, 6, 4, 0

1, 4, 12, 16, 8, 0,

1, 5, 20, 40, 40, 16, 0

CROSSREFS

Cf. A082137, A084938, A198792.

Sequence in context: A091063 A246935 A342120 * A085388 A294498 A292860

Adjacent sequences:  A198790 A198791 A198792 * A198794 A198795 A198796

KEYWORD

easy,nonn,tabl

AUTHOR

Philippe Deléham, Oct 30 2011

STATUS

approved

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Last modified January 28 01:55 EST 2022. Contains 350654 sequences. (Running on oeis4.)