|
|
A022856
|
|
a(n) = n-2 + Sum_{i = 1..n-2} (a(i+1) mod a(i)) for n >= 3 with a(1) = a(2) = 1.
|
|
18
|
|
|
1, 1, 1, 2, 3, 5, 8, 12, 17, 23, 30, 38, 47, 57, 68, 80, 93, 107, 122, 138, 155, 173, 192, 212, 233, 255, 278, 302, 327, 353, 380, 408, 437, 467, 498, 530, 563, 597, 632, 668, 705, 743, 782, 822, 863, 905, 948, 992, 1037, 1083, 1130, 1178, 1227
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,4
|
|
COMMENTS
|
Essentially triangular numbers + 2, but with three extra initial terms.
|
|
LINKS
|
|
|
FORMULA
|
Sum_{n>=1} 1/a(n) = 3 + 2*Pi*tanh(sqrt(15)*Pi/2)/sqrt(15). - Amiram Eldar, Dec 13 2022
|
|
MATHEMATICA
|
|
|
PROG
|
(PARI) for(n=1, 100, print1(if(n<4, 1, (n^2 - 7*n +16)/2), ", ")) \\ G. C. Greubel, Jul 13 2017
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|