A252373 - OEIS

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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

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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)))))