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A133070 n^5-n^3-n^2. (Exponents are the prime numbers in decreasing order). +0
3
0, -1, 20, 207, 944, 2975, 7524, 16415, 32192, 58239, 98900, 159599, 246960, 368927, 534884, 755775, 1044224, 1414655, 1883412, 2468879, 3191600, 4074399, 5142500, 6423647, 7948224, 9749375 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n) = n^5-n^3-n^2

G.f.: x*(-1+72*x^2+22*x^3+26*x+x^4)/(x-1)^6. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 14 2007

EXAMPLE

a(7)=16415 because 7^5=16807, 7^3=343, 7^2=49 and we can write 16807-343-49=16415.

CROSSREFS

Cf. A000290, A000578, A000584, A011379, A045991, A100019.

Sequence in context: A099197 A041766 A121088 this_sequence A135179 A074668 A139620

Adjacent sequences: A133067 A133068 A133069 this_sequence A133071 A133072 A133073

KEYWORD

sign

AUTHOR

Omar E. Pol (info(AT)polprimos.com), Nov 01 2007

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Last modified December 4 19:55 EST 2008. Contains 151308 sequences.


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