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Search: id:A100953
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| A100953 |
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Number of partitions of n into relatively prime parts such that multiplicities of parts are also relatively prime. |
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+0
1
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| 1, 0, 1, 2, 5, 5, 13, 14, 25, 28, 54, 54, 99, 105, 160, 192, 295, 315, 488, 546, 760, 890, 1253, 1404, 1945, 2234, 2953, 3459, 4563, 5186, 6840, 7909, 10029, 11716, 14843, 17123, 21635, 25035, 30981, 36098, 44581, 51370, 63259, 73223, 88739, 103048
(list; graph; listen)
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OFFSET
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1,4
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FORMULA
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Moebius transform of A000837.
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MAPLE
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read transforms : a000837 := [] : b000837 := fopen("b000837.txt", READ) : bfil := readline(b000837) : while StringTools[WordCount](bfil) > 0 do b := sscanf( bfil, "%d %d") ; a000837 := [op(a000837), op(2, b)] ; bfil := readline(b000837) ; od: fclose(b000837) ; a000837 := subsop(1=NULL, a000837) : a := MOBIUS(a000837) : for n from 1 to 120 do printf("%d, ", op(n, a)) ; od: - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 12 2008
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CROSSREFS
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Cf. A000837.
Sequence in context: A084721 A138316 A124201 this_sequence A112835 A154692 A144293
Adjacent sequences: A100950 A100951 A100952 this_sequence A100954 A100955 A100956
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KEYWORD
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easy,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 11 2005
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EXTENSIONS
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More terms from David Wasserman (dwasserm(AT)earthlink.net) and R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 04 2008
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