A278164 -id:A278164 - cp's OEIS frontend

A277904 Irregular table: row n (n >= 0) is obtained by listing numbers 0 .. A018819(n)-1.

0, 0, 0, 1, 0, 1, 0, 1, 2, 3, 0, 1, 2, 3, 0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19

Offset: 1

Antti Karttunen, Nov 14 2016

			A018819 -> range -> terms on row n
  1        [0,0]:    0;
  1        [0,0]:    0;
  2        [0,1]:    0, 1;
  2        [0,1]:    0, 1;
  4        [0,3]:    0, 1, 2, 3;
  4        [0,3]:    0, 1, 2, 3;
  6        [0,5]:    0, 1, 2, 3, 4, 5;
etc.

Antti Karttunen, Table of n, a(n) for n = 1..9828

Cf. A000123, A018819, A277903.
Used for constructing A277905.
Retaining only every second row gives A278164.

(define (A277904 n) (if (= 1 n) 0 (- n (A000123 (+ -1 (A277903 n))) 1)))

a(1) = 0; for n > 1, a(n) = n - A000123(A277903(n)-1) - 1.

A278163 a(n) = the least k such that A131205(1+k) >= n; each n occurs A000123(n) times.

Original entry on oeis.org

0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8

Offset: 1

Antti Karttunen, Nov 15 2016

nonn

Greatest monotonic left inverse of A131205(1+n).

Antti Karttunen, Table of n, a(n) for n = 1..9669

Cf. A000123, A131205, A277903, A278164.

(define (A278163 n) (let loop ((k 0)) (if (>= (A131205 (+ 1 k)) n) k (loop (+ 1 k)))))
(definec (A131205 n) (if (= 1 n) 1 (+ (A000123 (- n 1)) (A131205 (- n 1)))))
;; For other code, see A277903.

a(A131205(1+n)) = n.

cp's OEIS Frontend

A277904 Irregular table: row n (n >= 0) is obtained by listing numbers 0 .. A018819(n)-1.

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