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A362994
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a(n) = lcm(1, 2, ..., n+1) * Bernoulli(n, 1). Alternating row sums of A362995 and A363154.
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4
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1, 1, 1, 0, -2, 0, 10, 0, -84, 0, 2100, 0, -91212, 0, 420420, 0, -86894808, 0, 12796881240, 0, -123176186952, 0, 33154044803880, 0, -2317852458291480, 0, 114488177740536600, 0, -63580025062953158760, 0, 43435207772044760997000, 0, -2182849703429651931795120
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history;
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OFFSET
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0,5
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LINKS
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FORMULA
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a(n) = LCM(n) * Sum_{j=0..n} (-1)^(n - j) * j! * Stirling2(n, j) / (j + 1), where LCM(n) = lcm(i + 1, i = 0..n).
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MAPLE
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A362994 := n -> ilcm(seq(i + 1, i = 0..n)) * bernoulli(n, 1):
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MATHEMATICA
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PROG
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(PARI) a(n) = lcm([1..n+1])*subst(bernpol(n), 'x, 1); \\ Michel Marcus, Aug 09 2023
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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