A130910 Partial sums of A130909.

0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 120, 121, 123, 126, 130, 135, 141, 148, 156, 165, 175, 186, 198, 211, 225, 240, 240, 241, 243, 246, 250, 255, 261, 268, 276, 285, 295, 306, 318, 331, 345, 360, 360, 361, 363, 366, 370, 375, 381, 388

Offset

0,3

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Formula

a(n) = 120*floor(n/16)+A130909(n)*(A130909(n)+1)/2.

G.f.: (Sum_{k=1..15} k*x^k)/((1-x^16)*(1-x)).

G.f.: x*(15*x^16-16*x^15+1)/((1-x^16)*(1-x)^3).

From R. J. Mathar, Nov 05 2011: (Start)

a(n) = +a(n-1) +a(n-16) -a(n-17).

G.f.: x*(1 +2*x +3*x^2 +4*x^3 +5*x^4 +6*x^5 +7*x^6 +8*x^7 +9*x^8 +10*x^9 +11*x^10 +12*x^11 +13*x^12 +14*x^13 +15*x^14) / ( (1+x) *(1+x^2) *(1+x^4) *(1+x^8) *(x-1)^2 ). (End)

Mathematica

Accumulate[Mod[Range[0, 60], 16]] (* Harvey P. Dale, May 30 2020 *)

Crossrefs

Cf. A130909, A130481, A130482, A130483, A130484, A130485, A130486, A130487, A130488, A130489, A130490.

Sequence in context: A374707 A382728 A105336 * A105337 A394394 A105338

Adjacent sequences: A130907 A130908 A130909 * A130911 A130912 A130913

Keyword

nonn,easy

Author

Hieronymus Fischer, Jun 11 2007

Status

approved