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.

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

Offset

0,7

Links

Zak Seidov, 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: A362991 A215976 A141058 * A105673 A259761 A350272

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