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Partial sums of f(n) = A192490(2n+1); least monotonic left inverse of A266409.
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%I #7 Jan 30 2016 03:09:08

%S 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,

%T 14,15,15,15,16,16,17,17,17,18,18,18,19,19,19,20,21,21,21,22,22,22,22,

%U 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

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

%H Antti Karttunen, <a href="/A266350/b266350.txt">Table of n, a(n) for n = 1..10011</a>

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

%F Other identities. For all n >= 1:

%F a(A266409(n)) = n.

%o (Scheme, two versions)

%o (definec (A266350 n) (if (<= n 1) n (+ (A266350 (- n 1)) (A192490 (+ n n 1)))))

%o (define A266350 (LEFTINV-LEASTMONO 1 1 A266409))

%Y Cf. A192490, A266409.

%Y Cf. also permutations A266417, A266637.

%K nonn

%O 1,2

%A _Antti Karttunen_, Jan 28 2016