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

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Index entries for linear recurrences with constant coefficients, signature (14,-63,90).

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, Dec 26 2008]

MATHEMATICA

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

PROG

(MAGMA) [3^n + 5^n + 6^n: n in [0..20]]; // Vincenzo Librandi, May 20 2011

(PARI) a(n)=3^n+5^n+6^n \\ Charles R Greathouse IV, Jun 10 2011

CROSSREFS

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

Sequence in context: A261207 A161939 A270598 * A006772 A009020 A186765

Adjacent sequences:  A001576 A001577 A001578 * A001580 A001581 A001582

KEYWORD

easy,nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified November 20 00:42 EST 2017. Contains 294957 sequences.