A061577 Sequence and first differences (A061578) include all numbers.

2, 3, 7, 12, 18, 26, 35, 45, 56, 69, 83, 98, 114, 131, 150, 170, 191, 213, 236, 260, 285, 312, 340, 369, 399, 430, 462, 495, 529, 565, 602, 640, 679, 719, 760, 802, 845, 889, 935, 982, 1030, 1079, 1129, 1180, 1232, 1285, 1339, 1394, 1451, 1509, 1568, 1628

Offset: 1

Author

Ronald van Eijck (eequalsmcsquare(AT)hotmail.com), May 21 2001

Keywords

• nonn
• easy

Comments

The lexicographically earliest sequence that begins with 2 and together with its first differences (A030124) contain every positive integer exactly once.

a(n) = A022953(n-1) for 2 < n <= 10000. - Georg Fischer, Oct 19 2018

Links

• Ivan Neretin, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A005228, A022953, A061578.

Programs

Mathematica

Fold[Append[#1, #1[[#2]] + Complement[Range[Max@#1 + 1], #1][[#2]]] &, {2}, Range[50]] (* Ivan Neretin, Apr 04 2016 *)

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), Jun 12 2001