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

1,1

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

Mathematica

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

Crossrefs

Cf. A005228, A022953, A061578.

Sequence in context: A049623 A302506 A228828 * A350437 A006488 A121430

Adjacent sequences: A061574 A061575 A061576 * A061578 A061579 A061580

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved