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A055276 First differences of 11^n (A001020). +0
3
1, 10, 110, 1210, 13310, 146410, 1610510, 17715610, 194871710, 2143588810, 23579476910, 259374246010, 2853116706110, 31384283767210, 345227121439310, 3797498335832410, 41772481694156510, 459497298635721610 (list; graph; listen)
OFFSET

0,2

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)=11a(n-1)+[(-1)^n]*C(1, 1-n).

EXAMPLE

a(n)=10*11^(n-1); a(0)=1. G.f.(x)=(1-x)/(1-11x).

MATHEMATICA

Table[EulerPhi[11^n], {n, 0, 40}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 10 2009]

CROSSREFS

Cf. A001020.

Sequence in context: A102092 A105279 A057093 this_sequence A143749 A049398 A055530

Adjacent sequences: A055273 A055274 A055275 this_sequence A055277 A055278 A055279

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, May 29 2000

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu), May 31 2000

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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