A092080 - OEIS

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A092080

Concatenation of sequences of partition numbers A000041.

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; refs; listen; history; internal format)

	OFFSET	`1,3`
	COMMENTS	`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 * A193588 A165884 A136311` `Adjacent sequences: A092077 A092078 A092079 * 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 February 15 23:53 EST 2012. Contains 205860 sequences.