A277826 -id:A277826 - cp's OEIS frontend

A277884 a(n) = A277814(A277826(n)).

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

Offset: 0

Antti Karttunen, Nov 06 2016

Antti Karttunen, Table of n, a(n) for n = 0..65537

Cf. A264977, A277814.
Left inverse of A277817.
Cf. A277701, A277712, A277713, A277715 (positions of 1, 2, 3 and 8 in this sequence).
Cf. A277824, A277826 and their scatter-plots.

(define (A277884 n) (A277814 (A277826 n)))

a(n) = A277814(A277826(n)).
Other identities. For all n >= 0:
a(A277817(n)) = n.

A277816 a(n) = the least k > n for which A264977(k) = A264977(n), or 0 if no such k exists.

Original entry on oeis.org

0, 5, 10, 39, 20, 13, 78, 11, 40, 21, 26, 19, 156, 29, 22, 27, 80, 25, 42, 35, 52, 45, 38, 43, 312, 37, 58, 51, 44, 41, 54, 59, 160, 57, 50, 67, 84, 53, 70, 75, 104, 61, 90, 79, 76, 93, 86, 55, 624, 101, 74, 99, 116, 77, 102, 71, 88, 69, 82, 115, 108, 85, 118, 123, 320, 121, 114, 131, 100, 117, 134, 91, 168, 89, 106, 147, 140, 109, 150, 83, 208, 105

Offset: 0

Antti Karttunen, Nov 06 2016

nonn

Antti Karttunen, Table of n, a(n) for n = 0..65537

Cf. A264977, A277710, A277814, A277816, A277826, A277696.
Cf. A277815 (a left inverse).
Cf. A277701, A277712, A277713, A277715 (iterates of this sequence starting from 1, 2, 3 and 9 respectively).

(define (A277816 n) (if (zero? n) n (let ((v (A264977 n))) (let loop ((k (+ 1 n))) (if (= v (A264977 k)) k (loop (+ 1 k)))))))

For all n >= 0, A277815(a(n)) = n.

A277824 a(0) = 0; for n >= 1, a(n) = 1 + a(A277815(n)); index of the column where n is located in array A277710.

Original entry on oeis.org

0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 3, 1, 1, 1, 1, 1, 3, 2, 2, 2, 1, 1, 2, 3, 2, 1, 4, 1, 1, 1, 1, 1, 4, 1, 3, 3, 2, 2, 5, 2, 2, 2, 3, 1, 1, 1, 1, 2, 3, 3, 4, 2, 2, 1, 2, 4, 2, 1, 6, 1, 1, 1, 1, 1, 5, 1, 3, 4, 3, 1, 1, 3, 3, 3, 5, 2, 3, 2, 1, 5, 4, 2, 7, 2, 1, 2, 2, 3, 4, 1, 4, 1, 1, 1, 1, 1, 4, 2, 2, 3, 5, 3, 2, 4, 5, 2, 6, 2, 1, 1, 2, 2, 3, 4, 4, 2, 2, 1

Offset: 0

Antti Karttunen, Nov 06 2016

For n >= 1, a(n) = index of the column where n is located in array A277710.

Ordinal transform of A277826 and A277884.

Antti Karttunen, Table of n, a(n) for n = 0..65537

Cf. A277815, A277710.
Cf. A277817 (gives the positions of ones in this sequence).
Cf. A277826, A277884 and their scatter-plots.

(define (A277824 n) (if (zero? n) n (+ 1 (A277824 (A277815 n)))))

a(0) = 0; for n >= 1, a(n) = 1 + a(A277815(n)).

cp's OEIS Frontend

A277884 a(n) = A277814(A277826(n)).

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A277816 a(n) = the least k > n for which A264977(k) = A264977(n), or 0 if no such k exists.

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Scheme

Formula

A277824 a(0) = 0; for n >= 1, a(n) = 1 + a(A277815(n)); index of the column where n is located in array A277710.

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