A268837 Antidiagonal sums of array A268715: a(n) = Sum_{k=0..n} A003188(A006068(n)+A006068(n-k)).

0, 2, 7, 18, 17, 48, 56, 80, 67, 122, 136, 194, 204, 268, 281, 328, 291, 378, 396, 498, 510, 640, 675, 792, 790, 886, 965, 1098, 1093, 1208, 1248, 1344, 1227, 1378, 1356, 1530, 1538, 1792, 1815, 2016, 2008, 2218, 2339, 2602, 2619, 2892, 2970, 3208, 3150, 3294, 3385, 3586, 3691, 4012, 4174, 4440, 4367, 4554, 4644

Offset

0,2

Links

Antti Karttunen, Table of n, a(n) for n = 0..4096

Formula

a(n) = Sum_{k=0..n} A003188(A006068(n)+A006068(n-k)).

Prog

(Scheme)
(define (A268837 n) (add (lambda (k) (A003188 (+ (A006068 k) (A006068 (- n k))))) 0 n))
(define (add intfun lowlim uplim) (let sumloop ((i lowlim) (res 0)) (cond ((> i uplim) res) (else (sumloop (1+ i) (+ res (intfun i)))))))

Crossrefs

Cf. A003188, A006068.

Cf. also A268720, A268836.

Sequence in context: A174311 A220396 A217253 * A104310 A301325 A001114

Adjacent sequences: A268834 A268835 A268836 * A268838 A268839 A268840

Keyword

nonn

Author

Antti Karttunen, Feb 15 2016

Status

approved