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A284214 Remainder when sum of first n terms of A006949 is divided by n. 1
0, 0, 0, 1, 2, 3, 5, 0, 2, 4, 6, 9, 0, 3, 7, 12, 0, 4, 8, 12, 17, 1, 6, 12, 19, 0, 6, 13, 21, 29, 7, 16, 25, 0, 8, 16, 24, 33, 4, 13, 23, 34, 2, 12, 23, 35, 0, 12, 25, 38, 0, 12, 25, 39, 53, 12, 27, 42, 57, 13, 29, 45, 62, 16, 33, 50, 0, 16, 32, 48, 65, 11, 28, 46, 65, 8, 26, 45, 65, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Sequence represents e(n, 1) where e(n, i) = (Sum_{k=0..n-1} A006949(k)) mod (n*i).

See also alternative scatterplot and graph of this sequence in Links section.

LINKS

Altug Alkan, Table of n, a(n) for n = 1..20000

Altug Alkan, Alternative graph of A284214

Altug Alkan, Alternative scatterplot of A284214

Altug Alkan, Illustration of residue classes modulo 4

FORMULA

a(n) = (Sum_{k=0..n-1} A006949(k)) mod n.

EXAMPLE

a(6) = 3 because Sum_{k=0..5} A006949(k) = 1 + 1 + 1 + 2 + 2 + 2 = 9 and remainder when 9 is divided by 6 is 3.

MATHEMATICA

a[0] = a[1] = a[2] = 1; a[n_] := a[n] = a[n - 1 - a[n - 1]] + a[n - 2 - a[n - 2]]; MapIndexed[Mod[#1, First@ #2] &, Accumulate@ Table[a@ n, {n, 0, 79}]] (* Michael De Vlieger, Mar 24 2017 *)

CROSSREFS

Cf. A006949, A282891, A283025.

Sequence in context: A024595 A144804 A118308 * A174548 A068909 A039705

Adjacent sequences:  A284211 A284212 A284213 * A284215 A284216 A284217

KEYWORD

nonn

AUTHOR

Altug Alkan, Mar 23 2017

STATUS

approved

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Last modified May 27 21:52 EDT 2020. Contains 334671 sequences. (Running on oeis4.)