A091893 - OEIS

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A091893

Number of partitions of n into numbers having all the same number of 1's in binary representation.

1, 2, 3, 4, 5, 8, 7, 11, 13, 16, 17, 25, 23, 31, 35, 40, 42, 59, 53, 72, 79, 87, 91, 119, 114, 140, 151, 171, 178, 219, 203, 257, 275, 296, 319, 382, 364, 435, 467, 511, 533, 635, 609, 721, 764, 826, 865, 1011, 994, 1141, 1203, 1301, 1371, 1571, 1541, 1773 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	EXAMPLE	`n=30 -> '11110', a(30) = (#partitions into numbers with 1 binary 1) + (#partitions into numbers with 2 binary 1's) + (#partitions into numbers with 3 binary 1's) + (#partitions into numbers with 4 binary 1's) + (#partitions into numbers with 5 binary 1's) = A018819(30) + A091889(30) + A091890(30) + #{'11110','1111'+'1111'} + #empty = 166 + 50 + 1 + 2 + 0 = 219.`
	CROSSREFS	`Cf. A000120, A000041, A091889, A091890, A091891.` `Sequence in context: A080785 A069797 A158979 * A074756 A075162 A056240` `Adjacent sequences: A091890 A091891 A091892 * A091894 A091895 A091896`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 10 2004`

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Last modified February 16 10:07 EST 2012. Contains 205904 sequences.