A071107 -id:A071107

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A143191

a(n) is the smallest natural number we cannot obtain from n, n+1, n+2, n+3, n+4, n+5, n+6 and the operators +, -, *, /, using each number only once.

+10
1

284, 1413, 2113, 3266, 4943, 6242, 9105, 11586, 6269, 6427, 8407, 8406, 9224, 11079, 12451, 8392, 3469, 4253, 4043, 4126, 4087, 4657, 4330, 4639, 5114, 3983, 5839, 4415, 6376, 4537, 5231, 5161, 4090, 3199, 2057, 3372, 2285, 2270, 2525, 2609, 2590, 1209

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

COMMENTS

This sequence is related to the sequences A071110 (for 5 successive integers) and A060316 (for 6 successive integers) and others sequences to come...

Asymptotically, the sequence tends to 29 (the first n for which a(n)=29 is n=249).

LINKS

Gilles A. Fleury, Table of n, a(n) for n=0..300

CROSSREFS

Cf. A071110, A060316, A071107, A060315, A141494, A142153.

KEYWORD

nonn

AUTHOR

Gilles A.Fleury, Oct 18 2008

STATUS

approved

A143192

a(n) is the smallest natural number we cannot obtain from n, n+1, n+2, n+3, n+4, n+5, n+6, n+7 and the operators +, -, *, /, using each number only once.

+10
1

1413, 7187, 12421, 22751, 28862, 48046, 36094, 46372, 54214, 72845, 88119, 107246, 125589, 104153, 43838, 45893, 55054, 62090, 66226, 70187, 69638, 74941, 85303, 81913, 68891, 77237, 37997, 48758, 42827, 45554, 22217, 26617, 29422, 29099

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

COMMENTS

This sequence is related to the sequences A071110 (for 5 successive integers) and A060316 (for 6 successive integers) and others sequences to come...

Asymptotically the sequence tends to 67 (the first n for which a(n)=67 is n=1042).

LINKS

Gilles A. Fleury, Table of n, a(n) for n = 0..1500

CROSSREFS

Cf. A071110, A060316, A071107, A060315, A141494, A142153.

KEYWORD

nonn

AUTHOR

Gilles A.Fleury, Oct 18 2008, Mar 06 2009

STATUS

approved

A143193

a(n) is the smallest natural number we cannot obtain from n, n+1, n+2, n+3, n+4, n+5, n+6, n+7, n+8 and the operators +, -, *, /, using each number only once.

+10
1

7187, 38103, 54251, 114358, 168673, 264111, 319699, 456061, 588847, 812092, 1005321, 1222630, 445059, 499063, 600907, 706847, 820609, 929113, 1048137, 1269847, 1049291, 1113439, 1252843, 1411942, 1588841, 456206, 462382, 464357, 479894

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

This sequence is related to the sequences A071110 (for 5 successive integers) and A060316 (for 6 successive integers).

What is the asymptotic value of this sequence? What is the first n for which a(n) equals the asymptotic value?

LINKS

Gilles A. Fleury, Table of n, a(n) for n = 1..51

CROSSREFS

Cf. A071110, A060316, A071107, A060315, A141494, A142153.

KEYWORD

nonn

AUTHOR

Gilles A.Fleury, Oct 18 2008

STATUS

approved

A143190

a(n) is the smallest natural number we cannot obtain from n, n+1, n+2, n+3 and the operators +, -, *, /, using each number only once.

+10
0

10, 29, 41, 43, 40, 44, 26, 21, 15, 15, 18, 18, 18, 10, 10, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

This sequence is related to the sequences A071110 (for 5 successive integers) and A060316 (for 6 successive integers) and others sequences to come...

Asymptotically (in fact as soon as n>=15), the sequence tends to 5.

LINKS

Table of n, a(n) for n=1..50.

CROSSREFS

Cf. A071110, A060316, A071107, A060315, A141494, A142153.

KEYWORD

nonn

AUTHOR

Gilles A.Fleury, Oct 18 2008

STATUS

approved

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