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Search: id:A111605
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| A111605 |
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Determinant of the upper left n X n elements of the array T(n, m) in A109626. |
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+0
2
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| 1, 1, 2, 2, 8, -40, 144, 2448, -17280, -71424, 0, 1198080, 0, -18063360, 418037760, -7498137600, -115688079360, -587977850880, 12300343050240, -540240522117120, -36548032147292160, 487948583538524160, -2339225182084792320
(list; table; graph; listen)
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OFFSET
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1,3
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COMMENT
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a(n)=0 for n's: 11, 13, 29, 31, 34, 35, 36, 37, 38, 39, 41, 43, 46, 47, 48, 49, 50, 51, 53,59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 71, 73, 74, 75, 76, 77, 78, 79, 80
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MATHEMATICA
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f[n_] := f[n] = Block[{a}, a[0] = 1; a[l_] := a[l] = Block[{k = 1, s = Sum[ a[i]*x^i, {i, 0, l - 1}]}, While[ IntegerQ[ Last[ CoefficientList[ Series[(s + k*x^l)^(1/n), {x, 0, l}], x]]] != True, k++ ]; k]; Table[a[j], {j, 0, 32}]]; g[n_, m_] := f[n][[m]]; Table[ Det[ Table[ g[i, j], {i, n}, {j, n}]], {n, 23}]
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CROSSREFS
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Cf. A109626, A111606.
Sequence in context: A009543 A102647 A060224 this_sequence A009544 A077607 A032030
Adjacent sequences: A111602 A111603 A111604 this_sequence A111606 A111607 A111608
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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) and Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 01 2005
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