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A023867 a(n) = 1*t(n) + 2*t(n-1) + ...+ k*t(n+1-k), where k=floor((n+1)/2) and t is A001950 (upper Wythoff sequence). 1
2, 5, 17, 24, 54, 71, 127, 153, 242, 279, 409, 465, 645, 717, 954, 1052, 1354, 1473, 1848, 1989, 2444, 2620, 3164, 3367, 4007, 4239, 4983, 5260, 6116, 6426, 7402, 7764, 8868, 9269, 10509, 10950, 12333, 12835, 14370, 14917, 16611, 17226, 19087, 19752, 21788, 22504 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1000

MATHEMATICA

f[n_]:= n +Floor[n*GoldenRatio]; Table[Sum[j*f[n+1-j], {j, 1, Floor[(n + 1)/2]}], {n, 1, 50}] (* G. C. Greubel, Jun 12 2019 *)

PROG

(PARI) f(n) = n + floor(n*(1+sqrt(5))/2);

a(n) = sum(j=1, floor((n+1)/2), j*f(n+1-j)); \\ G. C. Greubel, Jun 12 2019

(MAGMA) f:= func< n | n + Floor(n*(1+Sqrt(5))/2) >;

[(&+[j*f(n+1-j): j in [1..Floor((n+1)/2)]]): n in [1..50]]; // G. C. Greubel, Jun 12 2019

(Sage)

def f(n): return n + floor(n*golden_ratio)

[sum(j*f(n+1-j) for j in (1..floor((n+1)/2))) for n in (1..50)] # G. C. Greubel, Jun 12 2019

CROSSREFS

Sequence in context: A023244 A188535 A176582 * A024594 A106215 A211548

Adjacent sequences:  A023864 A023865 A023866 * A023868 A023869 A023870

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

Title simplified by Sean A. Irvine, Jun 12 2019

STATUS

approved

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Last modified June 21 17:44 EDT 2021. Contains 345365 sequences. (Running on oeis4.)