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Search: id:A114033
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| A114033 |
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Group the triangular numbers so that the n-th group sum is a multiple of n. 1, (3, 6, 10, 15), (21), (28), (36, 45, 55, 66, 78), (91, 105, 120, 136, 153, 171, 190), ... Sequence contains the number of terms in the n-th group. |
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3
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| 1, 4, 1, 1, 5, 7, 1, 3, 17, 3, 1, 8, 11, 5, 1, 32, 1, 17, 19, 2, 19, 11, 16, 8, 19, 4, 19, 2, 29, 25, 7, 64, 9, 2, 14, 2, 37, 19, 26, 30, 12, 28, 10, 22, 1, 21, 3, 19, 49, 25, 17, 104, 53, 8, 11, 112, 19, 58, 29, 1, 61, 124, 35, 11, 9, 44, 8, 34, 46, 15, 69, 54, 73, 37, 1, 152, 77, 65
(list; graph; listen)
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OFFSET
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1,2
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MAPLE
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A000217 := proc(n) option remember ; n*(n+1)/2 ; end: A114033 := proc(n) local strt, su, len, i; strt := 1 ; for su from 1 to n do len := 1; while add( A000217(strt+i), i=0..len-1) mod su <> 0 do len := len+1 ; od ; if su = n then RETURN(len) ; else strt := strt+len ; fi ; od ; end: for n from 1 to 80 do printf("%d, ", A114033(n)) ; od ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 10 2007
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CROSSREFS
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Cf. A114031, A114032.
Sequence in context: A136489 A166455 A131239 this_sequence A084061 A140262 A049702
Adjacent sequences: A114030 A114031 A114032 this_sequence A114034 A114035 A114036
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 13 2005
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 10 2007
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