A005049 -id:A005049 - cp's OEIS frontend

A005050 Minimal span of set of n elements with no 6-term arithmetic progression.

6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18, 19, 21, 22, 23, 24, 25, 28, 31, 32, 34, 35, 36, 38, 39, 40, 43, 44, 45, 47, 48, 49, 50, 53, 55, 57, 58, 60, 61, 63, 64, 65, 67, 69, 70, 72, 73, 74, 75, 79, 81, 82, 84, 85, 87, 88, 90, 92, 93, 94, 95, 97, 98, 99, 100, 104

Offset: 6

N. J. A. Sloane

nonn

If the first appearance of n in A003005 is A003005(k) = n, then a(n) = k-1. - Fausto A. C. Cariboni, Jun 17 2018

Fausto A. C. Cariboni, Table of n, a(n) for n = 6..95
B. E. Brown and D. M. Gordon, On sequences without geometric progressions, Math. Comp. 65 (1996), no. 216, 1749-1754.
Sean A. Irvine, Example sets for a(6)-a(38)

Cf. A005047, A005048, A005049.

More terms from David W. Wilson, May 15 1997
a(25)-a(38) from Sean A. Irvine, Mar 17 2016
a(39)-a(71) from Fausto A. C. Cariboni, Jun 17 2018

A005048 Minimal span of set of n elements with no 4-term arithmetic progression.

Original entry on oeis.org

4, 5, 7, 8, 9, 12, 14, 16, 18, 20, 22, 24, 26, 27, 29, 32, 33, 36, 39, 42, 44, 47, 49, 52, 53, 57, 59, 63, 65, 67, 69, 73, 76, 78, 81, 83, 86, 90, 92, 96, 98, 100, 103, 104, 106, 111, 113, 119, 121, 125, 128, 131, 133, 137, 140

Offset: 4

N. J. A. Sloane

If the first appearance of n in A003003 is A003003(k) = n, then a(n) = k-1. - Robert Israel, Mar 21 2016

			Example for n=13: { 1, 2, 3, 5, 6, 8, 9, 10, 16, 17, 18, 20, 21 } with span 20.

B. E. Brown and D. M. Gordon, On sequences without geometric progressions, Math. Comp. 65 (1996), no. 216, 1749-1754.
Sean A. Irvine, Example sets for a(4)-a(27)

Cf. A005047, A005049, A005050.

Corrected and extended by David W. Wilson, May 15 1997
a(22)-a(26) from Sean A. Irvine, Mar 17 2016
a(24)-a(26) corrected by Robert Israel, Mar 20 2016
a(27) from Sean A. Irvine, Mar 20 2016
a(28)-a(34) from Robert Israel, Mar 21 2016
a(35)-a(58) from Fausto A. C. Cariboni, Jun 17 2018

cp's OEIS Frontend

A005050 Minimal span of set of n elements with no 6-term arithmetic progression.

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