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A086684
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n! - Sum_{i} p_i!^e_i, where n = Prod_{i} (p_i^e_i).
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0
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1, 0, 0, 20, 0, 712, 0, 40312, 362844, 3628678, 0, 479001590, 0, 87178286158, 1307674367874, 20922789887984, 0, 6402373705727962, 0, 2432902008176639876, 51090942171709434954, 1124000727777567763198, 0, 620448401733239439359986
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| a(p)=0 iff p is prime
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EXAMPLE
| a(6)=6!-2!-3!=720-2-6=712
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MATHEMATICA
| g[n_] := Plus @@ Flatten[Table[ # [[1]]! ^ # [[2]], {1}] & /@ FactorInteger[n]]; Table[n! - f[n], {n, 1, 24}]
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PROG
| (PARI) for(i=1, 20, f=factor(i); print1(", "i!-sum(j=1, length(f[, 1]), f[j, 1]!^f[j, 2])))
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CROSSREFS
| Sequence in context: A084029 A008426 A055637 * A198800 A060430 A040404
Adjacent sequences: A086681 A086682 A086683 * A086685 A086686 A086687
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KEYWORD
| nonn
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AUTHOR
| Jon Perry (perry(AT)globalnet.co.uk), Jul 28 2003
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EXTENSIONS
| Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 16 2003
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