Nothing Special   »   [go: up one dir, main page]

login
A339576
Row sums of triangle A236104.
1
1, 4, 10, 17, 29, 41, 59, 74, 101, 121, 151, 179, 215, 245, 295, 326, 374, 423, 477, 519, 591, 641, 707, 767, 844, 904, 1000, 1056, 1140, 1234, 1324, 1387, 1507, 1587, 1701, 1794, 1902, 1992, 2136, 2226, 2346, 2476, 2602, 2692, 2874, 2984, 3122, 3246, 3397
OFFSET
1,2
COMMENTS
In other words, a(n) is the sum of squares of terms in row n of A235791.
MAPLE
a:= n-> add(ceil((n+1)/k-(k+1)/2)^2, k=1..floor((sqrt(8*n+1)-1)/2)):
seq(a(n), n=1..60); # Alois P. Heinz, Dec 18 2020
PROG
(PARI) a(n) = sum(k=1, floor((sqrt(8*n+1)-1)/2), ceil((n+1)/k-(k+1)/2)^2) \\ Felix Fröhlich, Dec 19 2020; adapted from Maple code
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Dec 18 2020
STATUS
approved