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A056116 a(n)=(11^2)*12^(n-2); a(0)=1, a(1)=10. +0
1
1, 10, 121, 1452, 17424, 209088, 2509056, 30108672, 361304064, 4335648768, 52027785216, 624333422592, 7492001071104, 89904012853248, 1078848154238976, 12946177850867712, 155354134210412544 (list; graph; listen)
OFFSET

0,2

COMMENT

For n>=2, a(n) is equal to the number of functions f:{1,2,...,n}->{1,2,3,4,5,6,7,8,9,10,11,12} such that for fixed, different x_1, x_2 in {1,2,...,n} and fixed y_1, y_2 in {1,2,3,4,5,6,7,8,9,10,11,12} we have f(x_1)<>y_1 and f(x_2)<> y_2. - Milan R. Janjic (agnus(AT)blic.net), Apr 19 2007

REFERENCES

A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pps. 194-196.

LINKS

Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets

FORMULA

a(n)=12a(n-1)+[(-1)^n]*C(2, 2-n). G.F.(x)=(1-x)^2/(1-12x).

CROSSREFS

Cf. A055996 and A056002.

Sequence in context: A027770 A091692 A098309 this_sequence A081784 A005174 A034668

Adjacent sequences: A056113 A056114 A056115 this_sequence A056117 A056118 A056119

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, Jul 04 2000

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jul 04 2000

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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