A023541 Convolution of natural numbers with Beatty sequence for the golden mean A000201.

1, 5, 13, 27, 49, 80, 122, 176, 244, 328, 429, 549, 690, 853, 1040, 1252, 1491, 1759, 2057, 2387, 2750, 3148, 3583, 4056, 4569, 5124, 5722, 6365, 7054, 7791, 8578, 9416, 10307, 11253, 12255, 13315, 14434, 15614, 16857, 18164, 19537, 20977, 22486, 24066, 25718, 27444, 29246

Offset

1,2

Links

Table of n, a(n) for n=1..47.

Index entries for sequences related to Beatty sequences

Prog

(PARI) b(n) = floor(n*(sqrt(5)+1)/2); \\ A000201
a(n) = sum(k=1, n, k*b(n-k+1)); \\ Michel Marcus, Jun 06 2019

Crossrefs

Cf. A000201.

Sequence in context: A025193 A002717 A299897 * A079989 A062480 A027024

Adjacent sequences: A023538 A023539 A023540 * A023542 A023543 A023544

Keyword

nonn

Author

Clark Kimberling

Extensions

Missing a(16) inserted by Sean A. Irvine, Jun 06 2019

More terms from Michel Marcus, Jun 06 2019

Status

approved