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A092972 Smarandacheials for k=7. +0
7
1, 2, 3, -12, -10, -6, -49, -48, -90, -120, 1320, 1080, 624, 9604, 9360, 17280, 22440, -403920, -328320, -187200, -4235364, -4118400, -7551360, -9694080, 242352000, 196335360, 111196800, 3320525376, 3224707200, 5890060800, 7512912000, -240413184000, -194372006400, -109640044800 (list; graph; listen)
OFFSET

1,2

REFERENCES

F. Smarandache, Back and Forth Factorials, Arizona State Univ., Special Collections, 1972.

FORMULA

a(n, k) = !n!_k = Prod_{i=0, 1, 2, .., floor(2n/k)}_{0<|n-i*k|<=n} (n-i*k) = n(n-k)(n-2k)(n-3k)... . k=7.

PROGRAM

(PARI) a(n, k)=prod(j=0, (2*n)\k, if(n-k*j==0, 1, n-k*j))

CROSSREFS

Cf. A092396, A092397, A092398, A092399, A092971, A092973, A092974.

Sequence in context: A137765 A104038 A112979 this_sequence A081526 A075711 A079077

Adjacent sequences: A092969 A092970 A092971 this_sequence A092973 A092974 A092975

KEYWORD

sign

AUTHOR

Paul D. Hanna, M.L. Perez and Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 27 2004

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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