A262909 - OEIS

A262909

a(n) = greatest k such that A155043(k+A262509(n)) < A155043(A262509(n)).

5197, 5193, 5177, 5115, 5113, 4419, 4417, 4259, 4245, 4243, 4239, 4059, 4047, 3991, 3941, 3633, 3593, 3449, 3445, 3437, 3423, 3421, 2897, 2789, 2517, 2261, 2079, 2077, 2067, 2063, 1527, 1379, 1135, 1127, 1117, 1103, 1083, 575, 23457, 23451, 21689, 21671, 20241, 19003, 18977, 18649, 18063, 18019, 14853, 14159, 13659, 12707, 11681, 10993, 10991, 10297, 10281, 9151, 9149, 9145, 9111, 8897, 8535, 8147, 6835, 6813, 5539, 5537

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OFFSET

1,1

COMMENTS

a(n) = largest k such that A155043(k+A262509(n)) < A262508(n).

There might occur also negative terms, but no zeros.

For all terms a(n) > 0, a(n)+A262509(n) = A263081(n) is by necessity one of the leaves (A045765) in the tree generated by edge-relation A049820(child) = parent. See also comments in A262908.

LINKS

Table of n, a(n) for n=1..68.

FORMULA

a(n) = A263078(A262509(n)).

a(n) = A263081(n) - A262509(n).

Other identities. For all n >= 1:

a(n) >= A262908(n).

CROSSREFS

Cf. A000005, A049820, A045765, A262508, A262509, A262908, A263078, A263081.

Sequence in context: A252050 A028549 A209811 * A093071 A247266 A157511

Adjacent sequences: A262906 A262907 A262908 * A262910 A262911 A262912

KEYWORD

nonn

AUTHOR

Antti Karttunen, Oct 09 2015

STATUS

approved