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 1-3 of 3 results.

A036535 Smallest cube containing exactly n 8's.

Original entry on oeis.org

0, 8, 74088, 778688, 82881856, 835896888, 13858588808, 4862885368888, 148388768680888, 18861880880549888, 8228852188683588288, 28918668584888698888, 2888985884683248888875, 88474488708885888872808, 8889858696418898888882863, 8808698038888853888858648
Offset: 0

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Author

Keywords

Comments

a(n)^(1/3) = A048373(n) is the index of the first occurrence of n in sequence A269248. - M. F. Hasler, Feb 21 2016

Crossrefs

Cf. A048373, A036527 - A036536 for other digits 0 - 9.
Analog for squares: A036515 = A048353^2.

Programs

  • Mathematica
    nsmall = Table[Infinity, 20];
    For[i = 0, i <= 10^6, i++, n0 = Count[IntegerDigits[i^3], 8];
      If[nsmall[[n0 + 1]] > i^3, nsmall[[n0 + 1]] = i^3]];
    Cases[nsmall, ?NumberQ] (* _Robert Price, Mar 21 2020 *)

Formula

a(n) = A048373(n)^3. - M. F. Hasler, Feb 21 2016

Extensions

Extended with a(0) = 0 by M. F. Hasler, Feb 21 2016
a(11)-a(15) from Giovanni Resta, Jun 29 2018

A048363 a(n) is the index of the smallest triangular number containing exactly n 8's.

Original entry on oeis.org

7, 87, 312, 1287, 10572, 81103, 397212, 881912, 5270652, 7601169, 134021535, 421518419, 1402775027, 4204494972, 42305694389, 397212509427, 1943649189427, 6130065071251, 76024844477168, 98844816642745, 1333325833012312, 6069248534849827, 13303299356842428, 191199837283345112, 1084811955030810572
Offset: 1

Views

Author

Patrick De Geest, Mar 15 1999

Keywords

Crossrefs

Programs

  • Mathematica
    nsmall = Table[Infinity, 20];
    For[i = 0, i <= 10^6, i++, p = PolygonalNumber[i];
      n0 = Count[IntegerDigits[p], 8];
      If[nsmall[[n0]] > i, nsmall[[n0]] = i]];
    ReplaceAll[nsmall, Infinity -> "?"] (* Robert Price, Mar 22 2020 *)

Extensions

a(13)-a(15) from Lars Blomberg, May 16 2011
a(16)-a(18) from Giovanni Resta, Oct 30 2019
a(19)-a(25) from Max Alekseyev, Mar 07 2025

A036515 Smallest square containing exactly n 8's.

Original entry on oeis.org

81, 6889, 88804, 1898884, 78818884, 878588881, 88888055881, 388888184881, 86888087818884, 788088668888889, 8858888198858889, 108818889888588889, 18848488888038898881, 868968788888888880481, 3888888880378818878884, 22886882888858888885881
Offset: 1

Views

Author

Keywords

Comments

a(21) > 10^28. - Giovanni Resta, Jul 27 2018

Crossrefs

Cf. A048353. - Jon E. Schoenfield, Jan 24 2009

Programs

  • Mathematica
    a[n_] := Block[{k=1}, While[DigitCount[k^2, 10, 8] != n, k++]; k^2]; Array[a, 6] (* Giovanni Resta, Jul 27 2018 *)

Extensions

More terms from Jon E. Schoenfield, Jan 24 2009
a(16) from Giovanni Resta, Jul 27 2018
Showing 1-3 of 3 results.