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A001579 3^n + 5^n + 6^n. +0
84
3, 14, 70, 368, 2002, 11144, 63010, 360248, 2076802, 12050504, 70290850, 411802328, 2421454402, 14282991464, 84472462690, 500716911608, 2973740844802, 17689728038024, 105375041354530, 628434388600088 (list; graph; listen)
OFFSET

0,1

REFERENCES

H. W. Gould, The Girard-Waring power sum formulas for symmetric functions and Fibonacci sequences, Fibonacci Quarterly, 37(1999), No. 2, May, pp. 135-140.

LINKS

Index entries for sequences related to linear recurrences with constant coefficients

FORMULA

G.f.: 1/(1-3*x)+1/(1-5*x)+1/(1-6*x). E.g.f.: e^(3*x)+e^(5*x)+e^(6*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Dec 26 2008]

MATHEMATICA

Table[3^n + 5^n + 6^n, {n, 0, 20}]

CROSSREFS

Cf. A001550, A001576, A034513, A074501 - A074580.

Sequence in context: A028938 A038213 A161939 this_sequence A006772 A009020 A109792

Adjacent sequences: A001576 A001577 A001578 this_sequence A001580 A001581 A001582

KEYWORD

easy,nonn

AUTHOR

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

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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