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.

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A094978 a(n) = floor(11^n/3^n).

Original entry on oeis.org

1, 3, 13, 49, 180, 662, 2430, 8910, 32671, 119796, 439252, 1610592, 5905506, 21653524, 79396256, 291119607, 1067438559, 3913941385, 14351118413, 52620767516, 192942814227, 707456985499, 2594008946832, 9511366138386
Offset: 0

Views

Author

Robert G. Wilson v, May 26 2004

Keywords

Links

Crossrefs

Cf. A002379, A094969 - A094999.

Programs

  • Magma
    [Floor(11^n / 3^n): n in [0..30]]; // Vincenzo Librandi, Sep 08 2011
  • Mathematica
    Table[ Floor[(11/3)^n], {n, 0, 30}]
  • Maxima
    A094978(n):=floor(11^n/3^n)$ makelist(A094978(n),n,0,60); /* Martin Ettl, Oct 25 2012 */
  • PARI
    a(n) = 11^n\3^n; \\ Altug Alkan, Sep 08 2018

A094980 a(n) = floor(7^n/4^n).

Original entry on oeis.org

1, 1, 3, 5, 9, 16, 28, 50, 87, 153, 269, 471, 825, 1443, 2526, 4421, 7737, 13540, 23696, 41468, 72570, 126998, 222247, 388933, 680633, 1191108, 2084439, 3647768, 6383595, 11171292, 19549761, 34212082, 59871144, 104774502, 183355379
Offset: 0

Views

Author

Robert G. Wilson v, May 26 2004

Keywords

Examples

			a(2) = floor((7/4)^2) = floor(3.0625) = 3.
a(3) = floor((7/4)^3) = floor(5.359375) = 5.

Links

Crossrefs

Cf. A002379, A094969-A094999.

Programs

  • Magma
    [Floor(7^n / 4^n): n in [0..40]]; // Vincenzo Librandi, Sep 08 2011
  • Mathematica
    Floor[(7/4)^Range[0, 39]]
  • PARI
    a(n) = 7^n\4^n; \\ Michel Marcus, Oct 23 2018

Formula

Given the Fibonacci numbers F(n) = F(n - 2) + F(n - 1) with F(-2) = -1 and F(-1) = 1 (see A000045), F(n) < (7/4)^n for all n > -1. - Alonso del Arte, Oct 21 2018

A094981 a(n) = floor(9^n/4^n).

Original entry on oeis.org

1, 2, 5, 11, 25, 57, 129, 291, 656, 1477, 3325, 7481, 16834, 37876, 85222, 191751, 431439, 970739, 2184164, 4914369, 11057332, 24878997, 55977744, 125949925, 283387333, 637621500, 1434648375, 3227958844, 7262907400, 16341541651
Offset: 0

Views

Author

Robert G. Wilson v, May 26 2004

Keywords

Links

Crossrefs

Cf. A002379, A094969 - A094999.

Programs

  • Magma
    [Floor(9^n / 4^n): n in [0..40]]; // Vincenzo Librandi, Sep 08 2011
  • Mathematica
    Table[ Floor[(9/4)^n], {n, 0, 30}]
  • Maxima
    A094981(n):=floor(9^n/4^n)$ makelist(A094981(n),n,0,60); /* Martin Ettl, Oct 25 2012 */

A094982 a(n) = floor(11^n/4^n).

Original entry on oeis.org

1, 2, 7, 20, 57, 157, 432, 1189, 3270, 8994, 24735, 68023, 187064, 514428, 1414678, 3890365, 10698505, 29420889, 80907445, 222495474, 611862556, 1682622029, 4627210579, 12724829094, 34993280009, 96231520027, 264636680074
Offset: 0

Views

Author

Robert G. Wilson v, May 26 2004

Keywords

Links

Crossrefs

Cf. A002379, A094969 - A094999.

Programs

  • Magma
    [Floor(11^n / 4^n): n in [0..30]]; // Vincenzo Librandi, Sep 08 2011
  • Mathematica
    Table[ Floor[(11/4)^n], {n, 0, 30}]

A094983 a(n) = floor(6^n/5^n).

Original entry on oeis.org

1, 1, 1, 1, 2, 2, 2, 3, 4, 5, 6, 7, 8, 10, 12, 15, 18, 22, 26, 31, 38, 46, 55, 66, 79, 95, 114, 137, 164, 197, 237, 284, 341, 410, 492, 590, 708, 850, 1020, 1224, 1469, 1763, 2116, 2539, 3047, 3657, 4388, 5266, 6319, 7583, 9100, 10920, 13104, 15725, 18870, 22644
Offset: 0

Views

Author

Robert G. Wilson v, May 26 2004

Keywords

Links

Crossrefs

Cf. A002379, A094969 - A094999.

Programs

  • Magma
    [Floor(6^n / 5^n): n in [0..60]]; // Vincenzo Librandi, Sep 08 2011
  • Mathematica
    Table[ Floor[(6/5)^n], {n, 0, 30}]

A094984 a(n) = floor(7^n/5^n).

Original entry on oeis.org

1, 1, 1, 2, 3, 5, 7, 10, 14, 20, 28, 40, 56, 79, 111, 155, 217, 304, 426, 597, 836, 1171, 1639, 2295, 3214, 4499, 6299, 8819, 12347, 17286, 24201, 33882, 47434, 66408, 92972, 130161, 182225, 255115, 357162, 500026, 700037, 980052, 1372073, 1920903
Offset: 0

Views

Author

Robert G. Wilson v, May 26 2004

Keywords

Links

Crossrefs

Cf. A002379, A094969 - A094999.

Programs

  • Magma
    [Floor(7^n / 5^n): n in [0..50]]; // Vincenzo Librandi, Sep 08 2011
  • Mathematica
    Table[ Floor[(7/5)^n], {n, 0, 30}]
  • Maxima
    A094984(n):=floor(7^n/5^n)$ makelist(A094984(n),n,0,60); /* Martin Ettl, Oct 25 2012 */

A094985 a(n) = floor(8^n/5^n).

Original entry on oeis.org

1, 1, 2, 4, 6, 10, 16, 26, 42, 68, 109, 175, 281, 450, 720, 1152, 1844, 2951, 4722, 7555, 12089, 19342, 30948, 49517, 79228, 126765, 202824, 324518, 519229, 830767, 1329227, 2126764, 3402823, 5444517, 8711228, 13937965, 22300745, 35681192
Offset: 0

Views

Author

Robert G. Wilson v, May 26 2004

Keywords

Links

Crossrefs

Cf. A002379, A094969 - A094999.

Programs

  • Magma
    [Floor(8^n / 5^n): n in [0..50]]; // Vincenzo Librandi, Sep 08 2011
  • Mathematica
    Table[ Floor[(8/5)^n], {n, 0, 30}]

A094986 a(n) = floor(9^n/5^n).

Original entry on oeis.org

1, 1, 3, 5, 10, 18, 34, 61, 110, 198, 357, 642, 1156, 2082, 3748, 6746, 12143, 21859, 39346, 70823, 127482, 229468, 413042, 743477, 1338258, 2408865, 4335958, 7804725, 14048506, 25287310, 45517159, 81930887, 147475597, 265456074
Offset: 0

Views

Author

Robert G. Wilson v, May 26 2004

Keywords

Links

Crossrefs

Cf. A002379, A094969 - A094999.

Programs

  • Magma
    [Floor(9^n / 5^n): n in [0..40]]; // Vincenzo Librandi, Sep 08 2011
  • Mathematica
    Table[ Floor[(9/5)^n], {n, 0, 30}]

A094987 a(n) = floor(11^n/5^n).

Original entry on oeis.org

1, 2, 4, 10, 23, 51, 113, 249, 548, 1207, 2655, 5843, 12855, 28281, 62218, 136880, 301136, 662499, 1457498, 3206497, 7054294, 15519448, 34142787, 75114133, 165251092, 363552403, 799815288, 1759593634, 3871105995, 8516433190
Offset: 0

Views

Author

Robert G. Wilson v, May 26 2004

Keywords

Links

Crossrefs

Cf. A002379, A094969 - A094999.

Programs

  • Magma
    [Floor(11^n / 5^n): n in [0..40]]; // Vincenzo Librandi, Sep 08 2011
  • Mathematica
    Table[ Floor[(11/5)^n], {n, 0, 30}]
  • Maxima
    A094987(n):=floor(11^n/5^n)$ makelist(A094987(n),n,0,60); /* Martin Ettl, Oct 25 2012 */
  • PARI
    a(n) = 11^n\5^n; \\ Altug Alkan, Sep 08 2018

A094988 a(n) = floor(7^n/6^n).

Original entry on oeis.org

1, 1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 5, 6, 7, 8, 10, 11, 13, 16, 18, 21, 25, 29, 34, 40, 47, 55, 64, 74, 87, 101, 118, 138, 161, 188, 220, 257, 299, 349, 408, 476, 555, 648, 756, 882, 1029, 1201, 1401, 1634, 1907, 2225, 2595, 3028, 3533, 4122, 4809, 5610, 6545, 7636, 8909
Offset: 0

Views

Author

Robert G. Wilson v, May 26 2004

Keywords

Links

Crossrefs

Cf. A002379, A094969-A094999.

Programs

  • Magma
    [Floor(7^n / 6^n): n in [0..60]]; // Vincenzo Librandi, Sep 09 2011
  • Mathematica
    Table[ Floor[(7/6)^n], {n, 0, 30}]
Previous Showing 11-20 of 28 results. Next

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