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A010989
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Binomial coefficient C(n,36).
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5
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1, 37, 703, 9139, 91390, 749398, 5245786, 32224114, 177232627, 886163135, 4076350421, 17417133617, 69668534468, 262596783764, 937845656300, 3188675231420, 10363194502115, 32308782859535, 96926348578605, 280576272201225, 785613562163430, 2132379668729310
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OFFSET
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36,2
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COMMENTS
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Coordination sequence for 36-dimensional cyclotomic lattice Z[zeta_37].
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (37, -666, 7770, -66045, 435897, -2324784, 10295472, -38608020, 124403620, -348330136, 854992152, -1852482996, 3562467300, -6107086800, 9364199760, -12875774670, 15905368710, -17672631900, 17672631900, -15905368710, 12875774670, -9364199760, 6107086800, -3562467300, 1852482996, -854992152, 348330136, -124403620, 38608020, -10295472, 2324784, -435897, 66045, -7770, 666, -37, 1).
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FORMULA
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Sum_{n>=36} 1/a(n) = 36/35.
Sum_{n>=36} (-1)^n/a(n) = A001787(36)*log(2) - A242091(36)/35! = 1236950581248*log(2) - 429895798852508537154517/501401225325 = 0.9742957989... (End)
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MAPLE
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MATHEMATICA
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PROG
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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