A278163 -id:A278163 - cp's OEIS frontend

A277903 a(n) = the least k such that A000123(k) >= n.

0, 1, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12

Offset: 1

Antti Karttunen, Nov 14 2016

nonn

Greatest monotonic left inverse of A000123.

Each n occurs A018819(n) times.

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

Cf. A000123, A018819, A048675, A277904, A277905, A278163.

(definec (A277903 n) (let loop ((k 0)) (if (>= (A000123 k) n) k (loop (+ 1 k)))))
(define (A000123 n) (A018819 (+ n n)))
(definec (A018819 n) (cond ((zero? n) 1) ((even? n) (+ (A018819 (- n 1)) (A018819 (/ n 2)))) (else (A018819 (- n 1)))))

a(n) = A048675(A277905(n)).

a(A000123(n)) = n.

A278164 Irregular triangle read by rows: row n (n >= 0) is obtained by listing numbers 0 .. A000123(n)-1.

Original entry on oeis.org

0, 0, 1, 0, 1, 2, 3, 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, 10, 11, 12, 13, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

Offset: 1

Antti Karttunen, Nov 15 2016

			A000123 -> range -> terms on row n
   1       [0,0]:    0;
   2       [0,1]:    0, 1;
   4       [0,3]:    0, 1, 2, 3;
   6       [0,5]:    0, 1, 2, 3, 4, 5;
  10       [0,9]:    0, 1, 2, 3, 4, 5, 6, 7, 8, 9;
etc.

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

Obtained by taking the every second row of similar table A277904.

Cf. A000123, A131205, A278163.

(define (A278164 n) (if (= 1 n) 0 (- n (A131205 (A278163 n)) 1)))

a(1) = 0; for n > 1, a(n) = n - A131205(A278163(n)) - 1.

cp's OEIS Frontend

A277903 a(n) = the least k such that A000123(k) >= n.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Scheme

Formula