A344712 First differences of A343456, with prepended first term a(0) = 2.

2, 4, 5, 12, 9, 1, 11, 4, 10, 29, 3, 27, 18, 6, 4, 120, 19, 14, 20, 19, 19, 40, 70, 41, 56, 35, 12, 122, 6, 3, 25, 2, 5, 143, 215, 23, 95, 50, 83, 17, 12, 13, 33, 4, 18, 7, 28, 4, 15, 65, 34, 155

Offset

0,1

Comments

For each n, a(n) gives the length of a run of strictly increasing terms in A343376. The initial run is A343376(0) = 0 and A343376(1) = 1, so a(0) = 2. For n >= 1, a run begins with the number A343457(n) and ends with the number A344709(n+1).

Links

Table of n, a(n) for n=0..51.

Formula

a(n) = A343456(n+1)-A343456(n) for n >= 1.

Example

a(3) = 12 since there are 12 strictly increasing terms from A343376(11) to A343376(22): A343457(3) = 2, 22, 24, 46, 70, 116, 186, 302, 488, 790, 1278, 2068 = A344709(4). This is also seen from the formula a(3) = A343456(4)-A343456(3) = 22-10 = 12.

Crossrefs

Cf. A343376, A343456, A343457, A344709.

Sequence in context: A293274 A101961 A285055 * A351753 A268530 A090847

Adjacent sequences: A344709 A344710 A344711 * A344713 A344714 A344715

Keyword

nonn

Author

Timothy L. Tiffin, May 26 2021

Status

approved