A256287 Number of partitions of 7n into 7 parts.
0, 1, 15, 105, 436, 1367, 3539, 8033, 16475, 31275, 55748, 94425, 153192, 239691, 363446, 536375, 772909, 1090592, 1510201, 2056462, 2758123, 3648814, 4767088, 6157387, 7870067, 9962502, 12499033, 15552247, 19202869, 23541165, 28666799, 34690401, 41733315
Offset: 0
Examples
For n=2, the 15 partitions of 14 are [1,1,1,1,1,1,8], [1,1,1,1,1,2,7], ..., [1,2,2,2,2,2,3], [2,2,2,2,2,2,2].
Links
- Ray Chandler, Table of n, a(n) for n = 0..50
- Index entries for linear recurrences with constant coefficients, signature (2, 0, -1, 0, -1, 1, -2, 2, 1, 0, 0, 0, -1, -2, 2, -1, 1, 0, 1, 0, -2, 1).
Programs
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Mathematica
Length /@ (Total /@ IntegerPartitions[7 #, {7}] & /@ Range[0, 24]) (* Michael De Vlieger, Mar 21 2015 *) -
PARI
concat(0, vector(35, n, k=0; forpart(p=7*n, k++, , [7,7]); k))