A246262 Inverse function to injection A246261, partial sums of A246260.

0, 1, 1, 2, 3, 3, 3, 3, 3, 4, 5, 6, 7, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 23, 24, 24, 25, 25, 25, 26, 27, 28, 28, 28, 29, 29, 29, 29, 30, 30, 31, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 34, 34, 35, 35, 35, 35, 36, 36, 36, 36, 36, 36, 37, 38, 39

Offset

0,4

Links

Antti Karttunen, Table of n, a(n) for n = 0..10001

Formula

a(0) = 0, and for n >= 1, a(n) = A246260(n) + a(n-1).

a(n) = n - A246264(n).

Other identities. For all n >= 1 the following holds:

a(A246261(n)) = n. [This works as an inverse function for A246261].

Prog

(Scheme, with memoization-macro definec)
(definec (A246262 n) (if (zero? n) n (+ (A246260 n) (A246262 (- n 1)))))

Crossrefs

Cf. A246260, A246261, A246264, A246266.

Sequence in context: A120506 A327041 A277267 * A275974 A052288 A374942

Adjacent sequences: A246259 A246260 A246261 * A246263 A246264 A246265

Keyword

nonn

Author

Antti Karttunen, Aug 21 2014

Status

approved