cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-7 of 7 results.

A239008 Exponents m such that the decimal expansion of 3^m exhibits its first zero from the right later than any previous exponent.

Original entry on oeis.org

0, 3, 5, 7, 9, 11, 13, 19, 23, 24, 26, 28, 31, 34, 52, 65, 68, 136, 237, 4947, 7648, 42073, 50693, 52728, 395128, 2544983, 6013333, 76350564, 160451107, 641814146, 5291528429, 5856442430, 7307126644, 11577159988, 51444010646, 60457925746
Offset: 1

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Author

Keywords

Comments

Assume that a zero precedes all decimal expansions. This will take care of those cases in A030700.
Inspired by the Seqfan list discussion Re: "possible sequence", beginning with David Wilson 7:57 PM Mar 06 2014 and continued by M. F. Hasler, Allan Wechsler and Franklin T. Adams-Watters.
Location of first zeros (from the right) of terms: 2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15, 16, 18, 21, 22, 34, 57, 82, 84, 99, 103, 104, 139, 144, 151, 166, 169, 173, 202, 204, 205, 220, 230, 233, 236. - Chai Wah Wu, Jan 06 2020

Examples

			Obviously a(1) is 0. a(2) is 3 since this is the first exponent which yields a two-digit (nonzero) power of three.
		

Crossrefs

Programs

  • Mathematica
    f[n_] := Position[ Reverse@ Join[{0}, IntegerDigits[ PowerMod[3, n, 10^500]]], 0, 1, 1][[1, 1]]; k = 1; mx = 0; lst = {}; While[k < 200000001, c = f[k]; If[c > mx, mx = c; AppendTo[ lst, k]; Print@ k]; k++]; lst

Extensions

a(30)-a(34) from Bert Dobbelaere, Jan 21 2019
a(35)-a(36) from Chai Wah Wu, Jan 06 2020

A239009 Exponents m such that the decimal expansion of 4^m exhibits its first zero from the right later than any previous exponent.

Original entry on oeis.org

0, 2, 4, 7, 9, 12, 14, 16, 17, 23, 34, 36, 38, 43, 77, 88, 216, 350, 979, 24186, 28678, 134759, 205829, 374627, 2200364, 16625243, 29451854, 162613199, 8078176309, 9252290259, 17556077280, 49718535383, 51616746477, 54585993918
Offset: 1

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Author

Keywords

Comments

Assume that a zero precedes all decimal expansions. This will take care of those cases in A030701.
Inspired by the seqfan list discussion Re: "possible sequence", beginning with David Wilson 7:57 PM Mar 06 2014 and continued by M. F. Hasler, Allan C. Wechsler and Franklin T. Adams-Watters.
Not just twice A031142, although {16625243, 29451854, 162613199, 9252290259, 51616746477, 54585993918, 146235898847, 1360645542292} are possible candidates.
Location of first zeros (from the right) of terms: 2, 3, 4, 6, 7, 9, 10, 11, 12, 13, 14, 23, 24, 27, 30, 39, 53, 58, 94, 113, 120, 121, 122, 139, 165, 177, 192, 213, 217, 228, 229, 230, 250, 251. - Chai Wah Wu, Jan 08 2020

Crossrefs

Programs

  • Mathematica
    f[n_] := Position[ Reverse@ Join[{0}, IntegerDigits[ PowerMod[4, n, 10^500]]], 0, 1, 1][[1, 1]]; k = mx = 0; lst = {}; While[k < 100000001, c = f[k]; If[c > mx, mx = c; AppendTo[ lst, k]; Print@ k]; k++]; lst

Extensions

a(28)-a(30) from Bert Dobbelaere, Jan 21 2019
a(31)-a(34) from Chai Wah Wu, Jan 08 2020

A239010 Exponents m such that the decimal expansion of 5^m exhibits its first zero from the right later than any previous exponent.

Original entry on oeis.org

0, 2, 3, 5, 6, 9, 11, 15, 17, 18, 25, 26, 30, 33, 57, 58, 153, 1839, 3290, 4081, 16431, 577839, 2190974, 15167023, 23155442, 24477994, 36290003, 53687441, 62497567, 181850218, 790111167, 872257561, 4531889178, 26964400609, 32626158305, 268600630073
Offset: 1

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Author

Keywords

Comments

Assume that a zero precedes all decimal expansions. This will take care of those cases in A008839.
Inspired by the seqfan list discussion Re: "possible sequence", beginning with David Wilson 7:57 PM Mar 06 2014 and continued by M. F. Hasler, Allan C. Wechsler and Franklin T. Adams-Watters.
Highest position known is 232th digit from the right for a(33). - Bert Dobbelaere, Jan 21 2019

Crossrefs

Programs

  • Mathematica
    f[n_] := Position[ Reverse@ Join[{0}, IntegerDigits[ PowerMod[5, n, 10^500]]], 0, 1, 1][[1, 1]]; k = mx = 0; lst = {}; While[k < 100000001, c = f[k]; If[c > mx, mx = c; AppendTo[ lst, k]; Print@ k]; k++]; lst

Extensions

a(30)-a(33) from Bert Dobbelaere, Jan 21 2019
a(34)-a(36) from Chai Wah Wu, Jan 18 2020

A239011 Exponents m such that the decimal expansion of 6^m exhibits its first zero from the right later than any previous exponent.

Original entry on oeis.org

0, 2, 3, 4, 6, 7, 8, 12, 17, 24, 29, 42, 44, 101, 104, 128, 1015, 1108, 2629, 9683, 676076, 917474, 34882222, 53229360, 58230015, 90064345, 309000041, 319582553, 342860474, 382090917, 2770253437, 4380407969, 4407585753, 6966554399, 21235488251, 99404304146
Offset: 1

Views

Author

Keywords

Comments

Assume that a zero precedes all decimal expansions. This will take care of those cases in A030702.
Inspired by the seqfan list discussion Re: "possible sequence", beginning with David Wilson 7:57 PM Mar 06 2014 and continued by M. F. Hasler, Allan C. Wechsler and Franklin T. Adams-Watters.

Crossrefs

Programs

  • Mathematica
    f[n_] := Position[ Reverse@ Join[{0}, IntegerDigits[ PowerMod[6, n, 10^500]]], 0, 1, 1][[1, 1]]; k = mx = 0; lst = {}; While[k < 10000001, c = f[k]; If[c > mx, mx = c; AppendTo[ lst, k]; Print@ k]; k++]; lst

Extensions

a(27)-a(34) from Bert Dobbelaere, Jan 21 2019
a(35)-a(36) from Chai Wah Wu, Jan 23 2020

A239012 Exponents m such that the decimal expansion of 7^m exhibits its first zero from the right later than any previous exponent.

Original entry on oeis.org

0, 2, 3, 6, 10, 11, 19, 35, 127, 131, 175, 207, 1235, 2470, 2651, 1241310, 1922910, 471056338, 1001431598, 1720335627, 4203146094, 5353516238, 21838571507, 25770284079, 40822793867
Offset: 1

Views

Author

Keywords

Comments

Assume that a zero precedes all decimal expansions. This will take care of those cases in A030703.
Inspired by the seqfan list discussion Re: "possible sequence", beginning with David Wilson 7:57 PM Mar 06 2014 and continued by M. F. Hasler, Allan C. Wechsler and Franklin T. Adams-Watters.

Crossrefs

Programs

  • Mathematica
    f[n_] := Position[ Reverse@ Join[{0}, IntegerDigits[ PowerMod[7, n, 10^500]]], 0, 1, 1][[1, 1]]; k = mx = 0; lst = {}; While[k < 500000001, c = f[k]; If[c > mx, mx = c; AppendTo[ lst, k]; Print@ k]; k++]; lst

Extensions

a(19)-a(22) from Bert Dobbelaere, Jan 21 2019
a(23)-a(25) from Chai Wah Wu, Jan 15 2020

A239013 Exponents m such that the decimal expansion of 8^m exhibits its first zero from the right later than any previous exponent.

Original entry on oeis.org

0, 2, 3, 5, 6, 8, 9, 11, 12, 13, 17, 24, 27, 43, 144, 342, 633, 653, 2642, 6966, 16124, 84595, 225177, 4069057, 4890280, 6298187, 39573326, 99250579, 242281125, 1007075831, 4705063695, 5439666500, 5741331846, 6168193506, 9297912451, 34411164318, 36390662612, 265816303567
Offset: 1

Views

Author

Keywords

Comments

Assume that a zero precedes all decimal expansions. This will take care of those cases in A030704.
Inspired by the seqfan list discussion Re: "possible sequence", beginning with David Wilson 7:57 PM Mar 06 2014 and continued by M. F. Hasler, Allan C. Wechsler and Franklin T. Adams-Watters.
Not just three times A031142; although {99250579, 6168193506, 9297912451, 34411164318, 36390662612} are possible candidates.

Crossrefs

Programs

  • Mathematica
    f[n_] := Position[ Reverse@ Join[{0}, IntegerDigits[ PowerMod[8, n, 10^500]]], 0, 1, 1][[1, 1]]; k = mx = 0; lst = {}; While[k < 200000001, c = f[k]; If[c > mx, mx = c; AppendTo[ lst, k]; Print@ k]; k++]; lst

Extensions

a(29)-a(35) from Bert Dobbelaere, Jan 21 2019
a(36)-a(38) from Chai Wah Wu, Jan 18 2020

A239014 Exponents m such that the decimal expansion of 9^m exhibits its first zero from the right later than any previous exponent.

Original entry on oeis.org

0, 2, 3, 4, 6, 7, 12, 13, 14, 17, 26, 34, 68, 406, 926, 2227, 3379, 3824, 26364, 197564, 9669757, 11470439, 15754533, 18945654, 25742286, 38175282, 237545304, 320907073, 2928221215, 3653563322, 5788579994, 25722005323, 30228962873, 137527721034, 217558664165, 523648850797
Offset: 1

Views

Author

Keywords

Comments

Assume that a zero precedes all decimal expansions. This will take care of those cases in A030705.
Inspired by the seqfan list discussion Re: "possible sequence", beginning with David Wilson 7:57 PM Mar 06 2014 and continued by M. F. Hasler, Allan C. Wechsler and Franklin T. Adams-Watters.
Not just two time A001019.

Crossrefs

Except for its second term, A030705 is a subsequence.

Programs

  • Mathematica
    f[n_] := Position[ Reverse@ Join[{0}, IntegerDigits[ PowerMod[9, n, 10^500]]], 0, 1, 1][[1, 1]]; k = mx = 0; lst = {}; While[k < 10000001, c = f[k]; If[c > mx, mx = c; AppendTo[ lst, k]; Print@ k]; k++]; lst

Extensions

a(27)-a(31) from Bert Dobbelaere, Jan 21 2019
a(32)-a(36) from Chai Wah Wu, Jan 13 2020
Showing 1-7 of 7 results.