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A216218 Square array T, read by antidiagonals: T(n,k) = 0 if n-k>=2 or if k-n>=2, T(1,0) = T(0,0) = T(0,1) = 1, T(n,k) = T(n-1,k) + T(n,k-1). 11
1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

With zeros omitted, this is A173862.

LINKS

Table of n, a(n) for n=0..69.

FORMULA

T(n,n) = T(n+1,n) = T(n,n+1) = 2^n = A000079(n).

Sum_{k, 0<=k<=n} T(n-k,k) = A016116(n+1) = A163403(n+1).

EXAMPLE

Square array begins:

1, 1, 0, 0,  0,  0,  0, 0, ... row n=0

1, 2, 2, 0,  0,  0,  0, 0, ... row n=1

0, 2, 4, 4,  0,  0,  0, 0, ... row n=2

0, 0, 4, 8,  8,  0,  0, 0, ... row n=3

0, 0, 0, 8, 16, 16,  0, 0, ... row n=4

0, 0, 0, 0, 16, 32, 32, 0, ... row n=5

...

CROSSREFS

Cf. A000079, A016116, A216216, A216210, A068913

Sequence in context: A130454 A070787 A033985 * A122071 A099766 A194947

Adjacent sequences:  A216215 A216216 A216217 * A216219 A216220 A216221

KEYWORD

nonn,tabl

AUTHOR

Philippe Deléham, Mar 13 2013

STATUS

approved

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Last modified April 22 11:46 EDT 2019. Contains 322330 sequences. (Running on oeis4.)