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A198792 Triangle T(n,k), read by rows, given by (0,1,1,0,0,0,0,0,0,0,...) DELTA (1,0,0,1,0,0,0,0,0,0,0,...) where DELTA is the operator defined in A084938. 2
1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 4, 6, 3, 1, 0, 8, 16, 12, 4, 1, 0, 16, 40, 40, 20, 5, 1, 0, 32, 96, 120, 80, 30, 6, 1, 0, 64, 224, 336, 280, 140, 42, 7, 1, 0, 128, 512, 896, 896, 560, 224, 56, 8, 1, 0, 256, 1152, 2304, 2688, 2016, 1008, 336, 72, 9, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

COMMENTS

Row sums are A124302.

Variant of A119468.

LINKS

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

FORMULA

T(n,k) = A097805(n,k)*A011782(n-k).

Sum_{0<=k<=n} T(n,k)*2^k = A063376(n-1).

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

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

EXAMPLE

Triangle begins :

1

0, 1

0, 1, 1

0, 2, 2, 1

0, 4, 6, 3, 1

0, 8, 16, 12, 4, 1

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

CROSSREFS

Columns include A000007, A011782, A057711, A080929, A082138, A080951, A082139, A082140, A082141, A000012, A001477, A002378.

Sequence in context: A062110 A122896 A191348 * A196182 A107267 A320530

Adjacent sequences:  A198789 A198790 A198791 * A198793 A198794 A198795

KEYWORD

easy,nonn,tabl

AUTHOR

Philippe Deléham, Oct 30 2011

STATUS

approved

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Last modified April 4 19:22 EDT 2020. Contains 333229 sequences. (Running on oeis4.)