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Search: id:A137319
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| A137319 |
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Start with the set of natural numbers. Add 1 to every 2nd term, 2 to every 3rd term, 3 to every 4th term. etc. |
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+0
10
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| 1, 3, 5, 8, 9, 14, 13, 19, 19, 24, 21, 34, 25, 34, 35, 42, 33, 51, 37, 56, 49, 54, 45, 76, 53, 64, 63, 78, 57, 94, 61, 89, 77, 84, 79, 118, 73, 94, 91, 122, 81, 130, 85, 122, 117, 114, 93, 162, 103, 137, 119, 144, 105, 166, 123, 168, 133, 144, 117, 216, 121, 154, 161, 184
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The generating function is the sum of the generating functions in A000027 and A065608. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 09 2008
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FORMULA
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a(n)=n+A065608(n). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 09 2008
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EXAMPLE
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1,2,3,4,5,6,7,8,9,10,...
add 1 to every 2nd. term :
1,3,3,5,5,7,7,9,9,11,...
add 2 to every 3rd. term :
1,3,5,5,5,9,7,9,11,11,...
add 3 to every 4th. term :
1,3,5,8,5,9,7,12,11,11,...
add 4 to every 5th. term :
1,3,5,8,9,9,7,12,11,15,11,...
etc.
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MAPLE
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A137319 := proc(n) local a, k ; a := n ; for k from 2 to n do if n mod k = 0 then a := a+k-1 ; fi ; od: a; end: seq(A137319(n), n=1..100) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 09 2008
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CROSSREFS
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Adjacent sequences: A137316 A137317 A137318 this_sequence A137320 A137321 A137322
Sequence in context: A102529 A002159 A050094 this_sequence A138808 A018804 A032682
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KEYWORD
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easy,nonn
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AUTHOR
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Ctibor O. Zizka (ctibor.zizka(AT)seznam.cz), Apr 06 2008
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EXTENSIONS
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Corrected and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 09 2008
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