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A100883 Number of partitions of n in which the sequence of frequencies of the summands is non-decreasing. +0
4
1, 1, 2, 3, 5, 6, 11, 13, 19, 26, 36, 43, 64, 77, 102, 129, 169, 205, 268, 323, 413, 504, 629, 751, 947, 1131, 1384, 1661, 2024, 2393, 2919, 3442, 4136, 4884, 5834, 6836, 8162, 9531, 11262, 13155, 15493, 17981, 21138, 24472, 28571, 33066, 38475, 44305 (list; graph; listen)
OFFSET

0,3

EXAMPLE

a(5)=6 because of the 7 unrestricted partitions of 5, only one, 2+2+1 has a decreasing sequence of frequencies. Two is used twice, but 1 is used only once.

CROSSREFS

Cf. A100881 A100882 A100884.

Adjacent sequences: A100880 A100881 A100882 this_sequence A100884 A100885 A100886

Sequence in context: A081026 A137808 A091909 this_sequence A104012 A039037 A050049

KEYWORD

nonn

AUTHOR

David S Newman (DavidSNewman(AT)hotmail.com), Nov 21 2004

EXTENSIONS

More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), Nov 23 2004

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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