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A022443 Sequence and first differences include all positive integers except 2. 3
1, 4, 9, 15, 22, 30, 40, 51, 63, 76, 90, 106, 123, 141, 160, 180, 201, 224, 248, 273, 299, 326, 354, 383, 414, 446, 479, 513, 548, 584, 621, 659, 698, 739, 781, 824, 868, 913, 959, 1006, 1054, 1103, 1153, 1205, 1258, 1312, 1367, 1423, 1480, 1538, 1597, 1657, 1718 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) = a(n-1) + c(n) for n >= 2, a( ) increasing, given a(1) = 1; where c( ) is complement of a( ). - Clark Kimberling

LINKS

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

G. S. Kazandzidis, A General Formula for Some Number-Sequences, Math. Annalen, 147 (1962), 367-372.

MATHEMATICA

Fold[Append[#1, #1[[-1]] + Complement[Range[Max@#1 + 3], #1][[#2]]] &, {1, 4}, Range[3, 50]] (* Ivan Neretin, Apr 05 2016 *)

CROSSREFS

Cf. A005228 and references therein.

Sequence in context: A134227 A022945 A022948 * A281026 A079423 A285283

Adjacent sequences:  A022440 A022441 A022442 * A022444 A022445 A022446

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 22 16:15 EDT 2021. Contains 348174 sequences. (Running on oeis4.)