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A163121 (prime(n))^3-(nonprime(n))^3 . +0
1
8, 26, 61, 127, 819, 1468, 3913, 5131, 9423, 21014, 25695, 44821, 60921, 70246, 93175, 135053, 189754, 209405, 281080, 335959, 362017, 460271, 535850, 665665, 869798, 983645, 1037855, 1165724, 1231029, 1368809, 1963199, 2156966, 2474017, 2575027 (list; graph; listen)
OFFSET

1,1

COMMENT

Cube of the nth prime, A000040(n), minus cube of the n-th nonprime, A141468(n).

FORMULA

a(n) = A030078(n)-A141468(n)^3 = A161671(n)*(A001248(n)+A000040(n)*A141468(n)+A161753(n)).

EXAMPLE

a(1)=2^3-0^3=8. a(2)=3^3-1^2=26. a(3)=5^3-4^3=61. a(4)=7^3-6^3=127.

CROSSREFS

Cf. A000040, A030078, A141468, A161757.

Sequence in context: A111694 A129111 A002413 this_sequence A002901 A050471 A088024

Adjacent sequences: A163118 A163119 A163120 this_sequence A163122 A163123 A163124

KEYWORD

nonn

AUTHOR

Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jul 21 2009

EXTENSIONS

Extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 31 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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