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.

Previous Showing 21-30 of 34 results. Next

A245404 Number of nonnegative integers with property that their base 7/2 expansion (see A024639) has n digits.

Original entry on oeis.org

7, 21, 70, 245, 861, 3010, 10535, 36876, 129066, 451731, 1581055, 5533696, 19367936, 67787776, 237257216, 830400256, 2906400896, 10172403136, 35603410976, 124611938416, 436141784456, 1526496245596, 5342736859586, 18699579008551, 65448526529925, 229069842854741
Offset: 0

Views

Author

James Van Alstine, Jul 21 2014

Keywords

Examples

			The numbers 7-27 are represented by 20, 21, 22, 23, 24, 25, 26, 40, 41, 42, 43, 44, 45, 46, 60, 61, 62, 63, 64, 65, 66 respectively in base 7/2. These are the only integers with two digits, and so a(2)=21.

Crossrefs

Cf. A024639, A081848.

Programs

  • Sage
    A=[1]
for i in [1..60]:
    A.append(ceil((7-2)/2*sum(A)))
[7*x for x in A]

A245415 Number of nonnegative integers with property that their base 5/2 expansion (see A024632) has n digits.

Original entry on oeis.org

5, 10, 25, 60, 150, 375, 940, 2350, 5875, 14685, 36715, 91785, 229465, 573660, 1434150, 3585375, 8963440, 22408600, 56021500, 140053750, 350134375, 875335935, 2188339840, 5470849600, 13677124000, 34192810000, 85482025000, 213705062500, 534262656250
Offset: 1

Views

Author

Hailey R. Olafson, Jul 21 2014

Keywords

Examples

			a(2) = 10 because  20, 21, 22, 23, 24, 40, 41, 42, 43 and 44 are the base 5/2 expansions for the integers 5, 6, 7, 8, 9, 10, 11, 12, 13 and 14 respectively and these are the only integers with 2 digits.

Crossrefs

Cf. A081848, A245356, A024632.

Programs

  • Sage
    A=[1]
for i in [1..60]:
    A.append(ceil(((5-2)/2)*sum(A)))
[5*x for x in A]

A245416 Number of nonnegative integers with property that their base 9/2 expansion (see A024650) has n digits.

Original entry on oeis.org

9, 36, 162, 729, 3276, 14742, 66339, 298530, 1343385, 6045228, 27203526, 122415867, 550871406, 2478921327, 11155145967, 50198156856, 225891705852, 1016512676334, 4574307043503, 20584381695759, 92629717630920, 416833729339140, 1875751782026130
Offset: 1

Views

Author

James Van Alstine, Jul 21 2014

Keywords

Examples

			The numbers 9-44 are represented by 20, 21, 22, 23, 24, 25, 26, 27, 28, 40, 41, 42, 43, 44, 45, 46, 47, 48, 60, 61, 62, 63, 64, 65, 66, 67, 68, 80, 81, 82, 83, 84, 85, 86, 87, 88 respectively in base 9/2. These are the only integers with two digits, and so a(2)=36.

Crossrefs

Cf. A024650, A081848.

Programs

  • Sage
    A=[1]
for i in [1..60]:
    A.append(ceil((9-2)/2*sum(A)))
[9*x for x in A]

A245417 Number of nonnegative integers with property that their base 7/3 expansion (see A024640) has n digits.

Original entry on oeis.org

7, 14, 28, 70, 161, 378, 882, 2058, 4802, 11200, 26138, 60984, 142296, 332024, 774725, 1807694, 4217948, 9841881, 22964389, 53583572, 125028337, 291732784, 680709834, 1588322946, 3706086874, 8647536037, 20177584084, 47081029534, 109855735577, 256330049682
Offset: 1

Views

Author

Tom Edgar, Jul 21 2014

Keywords

Examples

			The only integers requiring two digits in base 7/3 are 30, 31, 32, 33, 34, 35, 36, 60, 61, 62, 63, 64, 65, 66, representing 7-20 respectively; thus, a(2) = 14.

Crossrefs

Cf. A245356, A081848, A024640.

Programs

  • Sage
    A=[1]
for i in [1..100]:
    A.append(ceil(((7-3)/3)*sum(A)))
[7*x for x in A]

A245418 Number of nonnegative integers with property that their base 5/3 expansion (see A024633) has n digits.

Original entry on oeis.org

5, 5, 10, 15, 25, 40, 70, 115, 190, 320, 530, 885, 1475, 2460, 4100, 6830, 11385, 18975, 31625, 52710, 87850, 146415, 244025, 406710, 677850, 1129750, 1882915, 3138190, 5230320, 8717200, 14528665, 24214440, 40357400, 67262335, 112103890, 186839820, 311399700
Offset: 1

Views

Author

Hailey R. Olafson, Jul 21 2014

Keywords

Examples

			a(2) = 5 because 30, 31, 32, 33 and 34 are the base 5/3 expansions for the integers 5, 6, 7, 8 and 9 respectively and these are the only integers with 2 digits.

Crossrefs

Cf. A024633, A245356, A081848.

Programs

  • Sage
    A=[1]
for i in [1..60]:
    A.append(ceil(((5-3)/3)*sum(A)))
[5*x for x in A]

A245419 Number of nonnegative integers with property that their base 8/3 expansion (see A024645) has n digits.

Original entry on oeis.org

8, 16, 40, 112, 296, 792, 2112, 5632, 15016, 40040, 106776, 284736, 759296, 2024792, 5399440, 14398512, 38396032, 102389416, 273038440, 728102512, 1941606696, 5177617856, 13806980952, 36818615872, 98182975656, 261821268416, 698190049112, 1861840130960
Offset: 1

Views

Author

James Van Alstine, Jul 21 2014

Keywords

Examples

			The numbers 8-23 are represented by 30, 31, 32, 33, 34, 35, 36, 37, 60, 61, 62, 63, 64, 65, 66, 67 respectively in base 8/3. These are the only integers with two digits, and so a(2)=16.

Crossrefs

Cf. A024645, A081848.

Programs

  • Sage
    A=[1]
for i in [1..60]:
    A.append(ceil((8-3)/3*sum(A)))
[8*x for x in A]

A245420 Number of nonnegative integers with property that their base 8/5 expansion (see A024647) has n digits.

Original entry on oeis.org

8, 8, 16, 24, 40, 64, 96, 160, 256, 408, 648, 1040, 1664, 2664, 4264, 6816, 10912, 17456, 27928, 44688, 71496, 114400, 183040, 292864, 468576, 749728, 1199560, 1919296, 3070872, 4913400, 7861440, 12578304, 20125288, 32200456, 51520728, 82433168, 131893072
Offset: 1

Views

Author

Tom Edgar, Jul 21 2014

Keywords

Examples

			a(2) = 8 because 50, 51, 52, 53, 54, 55, 56, and 57 are the base 8/5 expansions for the numbers 8-15 respectively and these are the only integers with 2 digits.

Crossrefs

Cf. A024647, A245356, A081848.

Programs

  • Sage
    A=[1]
for i in [1..100]:
    A.append(ceil(((8-5)/5)*sum(A)))
[8*x for x in A]

A245423 Number of nonnegative integers with property that their base 7/5 expansion (see A024642) has n digits.

Original entry on oeis.org

7, 7, 7, 14, 14, 21, 28, 42, 56, 84, 112, 161, 224, 315, 441, 616, 861, 1204, 1687, 2366, 3311, 4634, 6489, 9086, 12719, 17808, 24927, 34902, 48860, 68404, 95767, 134071, 187698, 262780, 367892, 515046, 721070, 1009498, 1413293, 1978613, 2770054, 3878077
Offset: 1

Views

Author

James Van Alstine, Jul 21 2014

Keywords

Examples

			The numbers 7-13 are represented by 50, 51, 52, 53, 54, 55, 56 respectively in base 7/5. These are the only integers with two digits, and so a(2)=7.

Crossrefs

Cf. A024642, A081848.

Programs

  • Sage
    A=[1]
for i in [1..60]:
    A.append(ceil((7-5)/5*sum(A)))
[7*x for x in A]

A245425 Number of nonnegative integers with the property that their base 9/4 expansion (see A024652) has n digits.

Original entry on oeis.org

9, 18, 36, 81, 180, 405, 918, 2061, 4635, 10431, 23472, 52812, 118827, 267363, 601560, 1353510, 3045402, 6852150, 15417342, 34689015, 78050286, 175613148, 395129583, 889041555, 2000343501, 4500772875, 10126738971, 22785162687, 51266616048, 115349886108
Offset: 1

Views

Author

Tom Edgar, Jul 21 2014

Keywords

Examples

			The numbers 9-26 are represented by 40, 41, 42, 43, 44, 45, 46, 47, 48, 80, 81, 82, 83, 84, 85, 86, 87, 88 respectively in base 9/4. Since these are the only two digit integers we have a(2) = 18.

Crossrefs

Cf. A024652, A245356, A081848.

Programs

  • Sage
    A=[1]
for i in [1..100]:
    A.append(ceil(((9-4)/4)*sum(A)))
[9*x for x in A]

A245426 Number of nonnegative integers with property that their base 7/4 expansion (see A024641) has n digits.

Original entry on oeis.org

7, 7, 14, 21, 42, 70, 126, 217, 378, 665, 1162, 2037, 3563, 6237, 10913, 19096, 33418, 58485, 102347, 179109, 313439, 548520, 959910, 1679839, 2939720, 5144510, 9002889, 15755061, 27571355, 48249873, 84437276, 147765233, 258589156, 452531023, 791929292
Offset: 1

Views

Author

James Van Alstine, Jul 21 2014

Keywords

Examples

			The numbers 7-13 are represented by 40, 41, 42, 43, 44, 45, 46 respectively in base 7/4. These are the only integers with two digits, and so a(2)=7.

Crossrefs

Cf. A024641, A081848.

Programs

  • Sage
    A=[1]
for i in [1..60]:
    A.append(ceil((7-4)/4*sum(A)))
[7*x for x in A]
Previous Showing 21-30 of 34 results. Next

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.