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A133071 n^5-n^3+n^2. Exponents are the prime numbers in decreasing order. +0
3
0, 1, 28, 225, 976, 3025, 7596, 16513, 32320, 58401, 99100, 159841, 247248, 369265, 535276, 756225, 1044736, 1415233, 1884060, 2469601, 3192400, 4075281, 5143468, 6424705, 7949376, 9750625 (list; graph; listen)
OFFSET

0,3

FORMULA

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

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

EXAMPLE

a(7)=16513 because 7^5=16807, 7^3=343, 7^2=49 and we can write 16807-343+49=16513.

CROSSREFS

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

Sequence in context: A135826 A042526 A053135 this_sequence A135180 A042524 A125365

Adjacent sequences: A133068 A133069 A133070 this_sequence A133072 A133073 A133074

KEYWORD

nonn

AUTHOR

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

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Last modified December 4 15:51 EST 2008. Contains 151308 sequences.


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