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A055276
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First differences of 11^n (A001020).
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5
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1, 10, 110, 1210, 13310, 146410, 1610510, 17715610, 194871710, 2143588810, 23579476910, 259374246010, 2853116706110, 31384283767210, 345227121439310, 3797498335832410, 41772481694156510, 459497298635721610
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OFFSET
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0,2
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COMMENTS
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a(n) is the number of compositions of n when there are 10 types of each natural number. - Milan Janjic, Aug 13 2010
Apart from the first term, number of monic squarefree polynomials over F_11 of degree n. - Charles R Greathouse IV, Feb 07 2012
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REFERENCES
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A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
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LINKS
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FORMULA
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a(n) = 11a(n-1) + ((-1)^n)*C(1, 1-n).
a(n) = 10*11^(n-1); a(0)=1.
G.f.: (1-x)/(1-11x).
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MATHEMATICA
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PROG
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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