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A096162
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Let n be a number partitioned as n = b_1 +2*b_2 + ... + n*b_n; then a(n) = (b_1)! * (b_2)! * ... (b_n)!.
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8
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1, 1, 2, 1, 1, 6, 1, 1, 2, 2, 24, 1, 1, 1, 2, 2, 6, 120, 1, 1, 1, 2, 2, 1, 6, 6, 4, 24, 720, 1, 1, 1, 1, 2, 1, 2, 2, 6, 2, 6, 24, 12, 120, 5040, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 6, 2, 4, 2, 24, 24, 6, 12, 120, 48, 720, 40320, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 6, 6, 2, 2, 2, 2, 6, 24, 6, 12, 4, 24, 120
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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REFERENCES
| Abramowitz and Stegun, Handbook of Mathematical Functions, p. 831, column "M_1" divided by "M_3."
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LINKS
| M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
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FORMULA
| a(n) = A036038(n) / A036040(n)
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EXAMPLE
| 1 1 2 1 3 6 1 4 6 12 24 ... A036038
1 1 1 1 3 1 1 4 3 6 1 ... A036040
so
1 1 2 1 1 6 1 1 2 2 24 ... A096162
1; 1,2; 1,1,6; 1,1,2,2,24; 1,1,1,2,2,6,120; ...
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CROSSREFS
| Cf. A096161.
Row sums: A096161. Row lengths in A000041.
Sequence in context: A139622 A204168 A152656 * A053383 A181538 A125731
Adjacent sequences: A096159 A096160 A096161 * A096163 A096164 A096165
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KEYWORD
| easy,nonn,tabf
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AUTHOR
| Alford Arnold (Alford1940(AT)aol.com), Jun 20 2004
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EXTENSIONS
| Edited and extended by Christian G. Bower (bowerc(AT)usa.net), Jan 17 2006
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