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 A215451 a(0)=1, a(n) = (sum of previous terms) mod (a(n-1)+n). 2
 1, 1, 2, 4, 0, 3, 2, 4, 5, 8, 12, 19, 30, 5, 1, 1, 13, 21, 15, 11, 3, 17, 22, 20, 0, 20, 10, 28, 54, 0, 2, 4, 14, 23, 33, 0, 12, 28, 52, 45, 35, 48, 88, 61, 42, 36, 35, 70, 16, 1, 8, 41, 3, 21, 0, 5, 18, 23, 43, 17, 1, 41, 65, 111, 149, 25, 1, 53, 29, 63, 98, 102, 154, 5 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Indices of 0's: 4, 24, 29, 35, 54, 267, 5284, 17827, 43631, 120871, 843813, 1854903, 2226536, 4208775, 5525594, ... Indices of 1's: 0, 1, 14, 15, 49, 60, 66, 116, 331, 6053, 23760, 288502, 496670, 4281666, ... Indices such that a(n)=n: 1, 2, 22, 315, 1172, 1441, 1846, 2140, 47376, 593870, 16538298, 111824649, 565597433, 791186876, ... LINKS Harvey P. Dale, Table of n, a(n) for n = 0..1000 FORMULA a(0)=1, a(n) = (a(0)+...+a(n-1)) mod (a(n-1)+n). MATHEMATICA nxt[{n_, t_, a_}]:=Module[{c=Mod[t, a+n+1]}, {n+1, t+c, c}]; NestList[nxt, {0, 1, 1}, 80][[All, 3]] (* Harvey P. Dale, Dec 30 2017 *) PROG (Python) sum = a = 1 for n in range(1, 333):     print a,     a = sum % (a+n)     sum += a CROSSREFS Cf. A094405, A066910, A215452. Sequence in context: A064178 A018220 A004580 * A154585 A020822 A197514 Adjacent sequences:  A215448 A215449 A215450 * A215452 A215453 A215454 KEYWORD nonn AUTHOR Alex Ratushnyak, Aug 11 2012 STATUS approved

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Last modified September 23 08:23 EDT 2021. Contains 347610 sequences. (Running on oeis4.)