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 A114033 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. 3
 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; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS MAPLE 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, May 10 2007 CROSSREFS Cf. A114031, A114032. Sequence in context: A174037 A173077 A131239 * A334426 A209417 A267990 Adjacent sequences:  A114030 A114031 A114032 * A114034 A114035 A114036 KEYWORD nonn AUTHOR Amarnath Murthy, Nov 13 2005 EXTENSIONS More terms from R. J. Mathar, May 10 2007 STATUS approved

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Last modified September 23 20:42 EDT 2021. Contains 347617 sequences. (Running on oeis4.)