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A001565 3rd differences of factorial numbers.
(Formerly M2004 N0793)
+0
9
2, 11, 64, 426, 3216, 27240, 256320, 2656080, 30078720, 369774720, 4906137600, 69894316800, 1064341555200, 17255074636800, 296754903244800, 5396772116736000, 103484118786048000, 2086818140639232000, 44150769074700288000, 977904962186600448000 (list; graph; listen)
OFFSET

0,1

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

A. van Heemert, Cyclic permutations with sequences and related problems, J. Reine Angew. Math., 198 (1957), 56-72.

LINKS

Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets

Index entries for sequences related to factorial numbers

FORMULA

a(n) = (n^3 + 3n^2 + 5n + 2)*n! - Mitch Harris (maharri(AT)gmail.com), Jul 10 2008

CROSSREFS

Cf. A047920.

Sequence in context: A126745 A038725 A161947 this_sequence A074613 A039632 A143816

Adjacent sequences: A001562 A001563 A001564 this_sequence A001566 A001567 A001568

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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