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A102046 Smallest positive integer greater than a(n - 1) consistent with the condition that "n is a member of the sequence if and only if a(n) is congruent to (n!)!. 0
1, 1, 2, 6, 7, 8, 720, 721, 722, 723, 724, 726, 727, 728, 729, 780, 781, 782, 783, 784, 785, 786, 787, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

The sequence is related to the fake even and fake odd sequences and also the factorial and double factorial sequences, so seems in the short run linear but in the long run exponential.

FORMULA

a(a(n)) = (n!)!

EXAMPLE

a(6) = 720 because (3!)! = 6! = 720

CROSSREFS

Cf. A080591, A080588, A000197, A000142.

Sequence in context: A165775 A157671 A196747 * A019913 A047554 A206446

Adjacent sequences:  A102043 A102044 A102045 * A102047 A102048 A102049

KEYWORD

easy,nonn

AUTHOR

Michael Joseph Halm (hierogamous(AT)lycos.com), Feb 12 2005

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Last modified February 17 14:50 EST 2012. Contains 206050 sequences.