A244989 Partial sums of A244992: a(1) = 0, and for n >= 1, a(n) = A244992(n) + a(n-1); Inverse function for A244991.

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

Offset

1,4

Links

Antti Karttunen, Table of n, a(n) for n = 1..10001

Formula

a(1) = 0, and for n >= 1, a(n) = A244992(n) + a(n-1).

a(n) = n - A244988(n).

For all n >= 1, a(A244991(n)) = n. [This works as an inverse function for the injection A244991].

Prog

(definec (A244989 n) (if (<= n 1) 0 (+ (A244992 n) (A244989 (-1+ n)))))

Crossrefs

Cf. A244988, A244991, A244992, A244321.

Sequence in context: A218447 A305845 A120565 * A296021 A267097 A194198

Adjacent sequences: A244986 A244987 A244988 * A244990 A244991 A244992

Keyword

nonn

Author

Antti Karttunen, Jul 22 2014

Status

approved