A266350 Partial sums of f(n) = A192490(2n+1); least monotonic left inverse of A266409.

1, 2, 3, 3, 4, 5, 5, 6, 6, 6, 7, 8, 8, 9, 9, 9, 9, 10, 10, 11, 12, 12, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, 20, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 25, 26, 26, 26, 27, 27, 28, 28, 28, 28, 28, 28, 29, 29, 29, 30, 30, 30, 30, 31, 31, 32, 32

Offset

1,2

Links

Antti Karttunen, Table of n, a(n) for n = 1..10011

Formula

a(1) = 1; for n > 1, a(n) = a(n-1) + A192490(2n + 1).

Other identities. For all n >= 1:

a(A266409(n)) = n.

Prog

(Scheme, two versions)
(definec (A266350 n) (if (<= n 1) n (+ (A266350 (- n 1)) (A192490 (+ n n 1)))))
(define A266350 (LEFTINV-LEASTMONO 1 1 A266409))

Crossrefs

Cf. A192490, A266409.

Cf. also permutations A266417, A266637.

Sequence in context: A080595 A302779 A296020 * A123579 A166493 A005185

Adjacent sequences: A266347 A266348 A266349 * A266351 A266352 A266353

Keyword

nonn

Author

Antti Karttunen, Jan 28 2016

Status

approved