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A102706 Number of partitions of n^3 into n primes such that n-1 are consecutive primes and the remaining prime is larger than the sum of the n-1 consecutive primes. 3
0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 3, 6, 3, 2, 2, 5, 7, 10, 8, 9, 5, 5, 9, 15, 10, 8, 4, 5, 15, 27, 15, 17, 15, 20, 25, 18, 19, 18, 14, 21, 21, 27, 22, 19, 22, 22, 28, 31, 29, 25, 22, 27, 35, 43, 35, 34, 27, 42, 40, 46, 45, 53, 36, 33, 48, 46, 53, 34, 39, 57, 53, 50, 47, 39, 63, 66, 60 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

Moshe Levin, Table of n, a(n) for n = 0..1000

EXAMPLE

a(2)=1 since 2^3 = 8 = 3+5;

a(6)=2 since 6^3 = 216 = 5+7+11+13+17+163 = 7+11+13+17+19+149;

a(8)=0 since no such partition exists for 8^3.

CROSSREFS

Cf. A102352.

Sequence in context: A165316 A215976 A141058 * A105673 A259761 A171933

Adjacent sequences:  A102703 A102704 A102705 * A102707 A102708 A102709

KEYWORD

nonn

AUTHOR

Giovanni Teofilatto, Feb 05 2005

EXTENSIONS

Corrected and extended by Ray Chandler Feb 25 2005

STATUS

approved

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Last modified August 16 11:12 EDT 2017. Contains 290623 sequences.