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A092080 Concatenation of sequences of partition numbers A000041. +0
3
1, 1, 2, 1, 2, 3, 1, 2, 3, 5, 1, 2, 3, 5, 7, 1, 2, 3, 5, 7, 11, 1, 2, 3, 5, 7, 11, 15, 1, 2, 3, 5, 7, 11, 15, 22, 1, 2, 3, 5, 7, 11, 15, 22, 30, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 77, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42 (list; graph; listen)
OFFSET

1,3

COMMENT

Sequence of row lenths of array A092078.

FORMULA

a(n)= p(m)= A000041(m) (number of partitions of m) with m := n-T, where T is the largest number from A000217 (triangular numbers) which is less than n.

EXAMPLE

a(17)= p(2)= 2 because 17 = (15=A000217(5)) + 2.

a(10)= p(4)= 5 because 10 = (6=A000217(3)) + 4 (note that T < n, not <=n, is asked for).

CROSSREFS

Sequence in context: A066657 A119444 A060040 this_sequence A165884 A136311 A126260

Adjacent sequences: A092077 A092078 A092079 this_sequence A092081 A092082 A092083

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Mar 19 2004

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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