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A206560
Number of 10's in the last section of the set of partitions of n.
6
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 4, 4, 7, 8, 13, 14, 22, 25, 36, 43, 59, 70, 95, 113, 150, 179, 232, 278, 356, 426, 537, 644, 803, 960, 1189, 1417, 1739, 2072, 2523, 2999, 3631, 4304, 5181, 6130, 7342, 8662, 10330, 12159, 14437, 16958
OFFSET
1,14
COMMENTS
Zero together with the first differences of A024794. Also number of occurrences of 10 in all partitions of n that do not contain 1 as a part. For the definition of "last section of n" see A135010. It appears that the sums of ten successive terms give the partition numbers A000041.
FORMULA
It appears that A000041(n) = Sum_{j=1..10} a(n+j), n >= 0.
PROG
(Sage) A206560 = lambda n: sum(list(p).count(10) for p in Partitions(n) if 1 not in p)
CROSSREFS
KEYWORD
nonn
AUTHOR
Omar E. Pol, Feb 09 2012
STATUS
approved