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Search: id:A113750
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| A113750 |
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Consider the generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next k multiples of n-1, n-2, ..., 1, for n>=1. Now construct the array, t, such that t(n,k) is the n-th and successively rounding up to the next k multiples. This sequence is the determinant of that array. |
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1
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| 2, 2, -4, 0, -32, -256, -512, -5632, -180736, -135168, -61440, 5529600, -1554161664, 17735712768, 351786369024, -79390588010496, -1755801711804416, -30318369806745600, -4162409018839531520, 528913148312239996928
(list; graph; listen)
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OFFSET
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2,1
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MATHEMATICA
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f[n_, k_] := Fold[ #2*Ceiling[ #1/#2 + k] &, n, Reverse@Range[n - 1]]; Table[Det[Table[f[i, j], {i, 2, n}, {j, 0, n - 2}]], {n, 2, 21}]
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CROSSREFS
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Sequence in context: A061006 A080736 A144412 this_sequence A004565 A068449 A068450
Adjacent sequences: A113747 A113748 A113749 this_sequence A113751 A113752 A113753
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KEYWORD
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sign
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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), Nov 05 2005
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