A252373 Partial sums of A252372, inverse function for A251726.

0, 1, 2, 3, 4, 5, 6, 7, 8, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 16, 17, 17, 18, 19, 20, 20, 21, 21, 22, 22, 23, 24, 24, 24, 25, 26, 27, 27, 27, 27, 28, 28, 29, 29, 30, 30, 31, 32, 33, 33, 33, 33, 34, 35, 36, 36, 36, 36, 37, 37, 38, 38, 39, 40, 41, 41, 42, 42, 42, 42, 43, 44, 45, 45, 46, 46, 47, 47, 48, 48, 49, 49, 50

Offset

1,3

Links

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

Formula

a(1) = 0, a(n) = A252372(n) + a(n-1).

Other identities. For all n >= 1:

a(A251726(n)) = n. [This works as an inverse or ranking function for the injection A251726.]

Prog

(Scheme, with memoization-macro definec)
(definec (A252373 n) (if (<= n 1) 0 (+ (A252372 n) (A252373 (- n 1)))))

Crossrefs

Cf. A251726, A252372, A252459.

Sequence in context: A347623 A269849 A228881 * A245338 A160755 A017873

Adjacent sequences: A252370 A252371 A252372 * A252374 A252375 A252376

Keyword

nonn

Author

Antti Karttunen, Dec 17 2014

Status

approved