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Search: id:A136502
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| 1, -1, 1, 2, -2, 1, -7, 7, -4, 1, 44, -44, 26, -8, 1, -516, 516, -308, 100, -16, 1, 11622, -11622, 6959, -2296, 392, -32, 1, -512022, 512022, -306888, 101754, -17712, 1552, -64, 1, 44588536, -44588536, 26732904, -8877272, 1554404, -139104, 6176, -128, 1
(list; table; graph; listen)
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OFFSET
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0,4
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FORMULA
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G.f. for column k: 1 = Sum_{n>=0} T(n+k,k)*x^n*(1+x)^(2^(n+k)).
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EXAMPLE
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Triangle begins:
1;
-1, 1;
2, -2, 1;
-7, 7, -4, 1;
44, -44, 26, -8, 1;
-516, 516, -308, 100, -16, 1;
11622, -11622, 6959, -2296, 392, -32, 1;
-512022, 512022, -306888, 101754, -17712, 1552, -64, 1;
44588536, -44588536, 26732904, -8877272, 1554404, -139104, 6176, -128, 1;
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PROGRAM
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(PARI) {T(n, k)=local(M=matrix(n+1, n+1, r, c, binomial(2^(c-1), r-c))); (M^-1)[n+1, k+1]}
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CROSSREFS
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Cf. A107354 (column 0), A136503 (column 2), A136504 (row sums) ; A136501 (matrix inverse).
Adjacent sequences: A136499 A136500 A136501 this_sequence A136503 A136504 A136505
Sequence in context: A138678 A108338 A021455 this_sequence A100632 A111540 A096440
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KEYWORD
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sign,tabl
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jan 01 2008
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