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A074605 3^n + 4^n. +0
2
2, 7, 25, 91, 337, 1267, 4825, 18571, 72097, 281827, 1107625, 4371451, 17308657, 68703187, 273218425, 1088090731, 4338014017, 17309009347, 69106897225, 276040168411, 1102998412177, 4408506864307, 17623567104025 (list; graph; listen)
OFFSET

0,1

REFERENCES

L. B. W. Jolley, "Summation of Series", Dover Publications, 1961, p. 14.

FORMULA

2 + 7x + 25x^2 + 91x^3 +...n terms = (1 - 4^n*x^n)/(1 - 4x) + (1 - 3^n*x^n)/(1 - 3x). [Jolley] - Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 20 2006

MATHEMATICA

Table[3^n + 4^n, {n, 0, 25}]

CROSSREFS

Cf. A000051, A034472, A052539, A034474, A062394, A034491, A062395, A062396, A007689, A063376, A063481, A074600 - A074624.

Equals A074506(n) - 1.

Sequence in context: A108152 A097613 A024482 this_sequence A108081 A116396 A074421

Adjacent sequences: A074602 A074603 A074604 this_sequence A074606 A074607 A074608

KEYWORD

easy,nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 25 2002

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Last modified September 7 23:08 EDT 2008. Contains 143486 sequences.


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