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A206556 Number of 6's in the last section of the set of partitions of n. 2
0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 5, 4, 8, 9, 14, 16, 26, 28, 42, 50, 69, 82, 114, 133, 179, 215, 279, 335, 434, 516, 657, 789, 987, 1182, 1473, 1754, 2164, 2583, 3154, 3755, 4567, 5414, 6542, 7753, 9307, 11000, 13158, 15501, 18456, 21712, 25731, 30196, 35677 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,10

COMMENTS

Zero together with the first differences of A024790. Also number of occurrences of 6 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 six successive terms give the partition numbers A000041.

LINKS

Table of n, a(n) for n=1..54.

FORMULA

It appears that A000041(n) = Sum_{j=1..6} a(n+j), n >= 0.

PROG

(Sage) A206556 = lambda n: sum(list(p).count(6) for p in Partitions(n) if 1 not in p)

CROSSREFS

Column 6 of A182703 and of A194812.

Cf. A000041, A135010, A138121, A182712-A182714, A206556-A206560.

Sequence in context: A088880 A008818 A089599 * A127683 A127686 A293548

Adjacent sequences:  A206553 A206554 A206555 * A206557 A206558 A206559

KEYWORD

nonn

AUTHOR

Omar E. Pol, Feb 09 2012

STATUS

approved

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Last modified August 16 05:55 EDT 2022. Contains 356160 sequences. (Running on oeis4.)