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A136501 Triangle, read by rows, where T(n,k) = C(2^k,n-k) for n>=k>=0. 1
1, 1, 1, 0, 2, 1, 0, 1, 4, 1, 0, 0, 6, 8, 1, 0, 0, 4, 28, 16, 1, 0, 0, 1, 56, 120, 32, 1, 0, 0, 0, 70, 560, 496, 64, 1, 0, 0, 0, 56, 1820, 4960, 2016, 128, 1, 0, 0, 0, 28, 4368, 35960, 41664, 8128, 256, 1, 0, 0, 0, 8, 8008, 201376, 635376, 341376, 32640, 512, 1, 0, 0, 0, 1, 11440 (list; table; graph; refs; listen; history; internal format)
OFFSET

0,5

EXAMPLE

Triangle begins:

1;

1, 1;

0, 2, 1;

0, 1, 4, 1;

0, 0, 6, 8, 1;

0, 0, 4, 28, 16, 1;

0, 0, 1, 56, 120, 32, 1;

0, 0, 0, 70, 560, 496, 64, 1;

0, 0, 0, 56, 1820, 4960, 2016, 128, 1;

0, 0, 0, 28, 4368, 35960, 41664, 8128, 256, 1;

0, 0, 0, 8, 8008, 201376, 635376, 341376, 32640, 512, 1;

0, 0, 0, 1, 11440, 906192, 7624512, 10668000, 2763520, 130816, 1024, 1;

PROG

(PARI) T(n, k)=binomial(2^k, n-k)

CROSSREFS

Cf. A121688 (row sums); A014070 (central terms); A136502 (matrix inverse).

Sequence in context: A160114 A109970 A116088 * A180983 A128307 A034369

Adjacent sequences:  A136498 A136499 A136500 * A136502 A136503 A136504

KEYWORD

nonn,tabl

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Jan 01 2008

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Last modified February 17 14:50 EST 2012. Contains 206050 sequences.