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A091529 When sum {k=1 to n} H(k) k! (n-k)! (mod {n+1}) (A091528) is not zero. +0
2
1, 2, 4, 5, 6, 8, 9, 10, 12, 13, 16, 18, 21, 22, 25, 28, 30, 33, 36, 37, 40, 42, 45, 46, 52, 57, 58, 60, 61, 66, 70, 72, 73, 78, 81, 82, 85, 88, 93, 96, 100, 102, 105, 106, 108, 112, 117, 121, 126, 130, 133, 136, 138, 141, 145, 148, 150, 156, 157, 162, 165, 166, 172, 177 (list; graph; listen)
OFFSET

1,2

COMMENT

It is conjectured that the density decreases. In each century the number of members are so far: 41, 30, 26, 28, 23, 24, 24, 21, 24, 22, ...

MATHEMATICA

Select[ Range[178], Mod[ Sum[ HarmonicNumber[k] k! (# - k)!, {k, 1, #}], # + 1] ? 0 &] (from Robert G. Wilson v Jan 14 2004)

CROSSREFS

Cf. A091528.

Adjacent sequences: A091526 A091527 A091528 this_sequence A091530 A091531 A091532

Sequence in context: A059567 A006594 A143028 this_sequence A141820 A095775 A035063

KEYWORD

nonn

AUTHOR

Leroy Quet (qq-quet(AT)mindspring.com), Jan 08 2004

EXTENSIONS

Extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 14 2004

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Last modified October 13 09:05 EDT 2008. Contains 145008 sequences.


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