login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A023866 a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t is A000201 (lower Wythoff sequence). 1
1, 3, 10, 14, 32, 43, 77, 93, 147, 169, 248, 283, 393, 437, 582, 644, 829, 903, 1133, 1219, 1498, 1608, 1942, 2067, 2460, 2601, 3058, 3230, 3756, 3946, 4546, 4772, 5451, 5699, 6462, 6732, 7583, 7895, 8840, 9177, 10220, 10604, 11750, 12162, 13416, 13856, 15223, 15717 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

MATHEMATICA

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

PROG

(PARI) {a(n) = sum(j=1, floor((n+1)/2), j*floor((n+1-j)*(1+sqrt(5))/2))}; \\ G. C. Greubel, Jun 12 2019

(MAGMA) [(&+[j*Floor((n+1-j)*(1+Sqrt(5))/2): j in [1..Floor((n+1)/2)]]): n in [1..50]]; // G. C. Greubel, Jun 12 2019

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

CROSSREFS

Sequence in context: A063221 A022409 A245524 * A024593 A128930 A328091

Adjacent sequences:  A023863 A023864 A023865 * A023867 A023868 A023869

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

Title simplified by Sean A. Irvine, Jun 12 2019

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 5 10:01 EDT 2021. Contains 346464 sequences. (Running on oeis4.)