A268836 Antidiagonal sums of array A268714: a(n) = Sum_{k=0..n} A006068(n)+A006068(n-k).

0, 2, 8, 12, 26, 38, 46, 56, 86, 114, 138, 164, 180, 198, 220, 240, 302, 362, 418, 476, 524, 574, 628, 680, 712, 746, 784, 820, 866, 910, 950, 992, 1118, 1242, 1362, 1484, 1596, 1710, 1828, 1944, 2040, 2138, 2240, 2340, 2450, 2558, 2662, 2768, 2832, 2898, 2968, 3036, 3114, 3190, 3262, 3336, 3430, 3522, 3610, 3700

Offset

0,2

Links

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

Formula

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

Prog

(Scheme)
(define (A268836 n) (add (lambda (k) (+ (A006068 k) (A006068 (- (+ n 0) 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. A006068, A268714.

Cf. also A268837, A268721.

Partial sums of A268716.

Sequence in context: A269968 A135957 A107755 * A027718 A115102 A257082

Adjacent sequences: A268833 A268834 A268835 * A268837 A268838 A268839

Keyword

nonn

Author

Antti Karttunen, Feb 15 2016

Status

approved