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.

A169999 Carryless product n X n in base 3.

Original entry on oeis.org

0, 1, 1, 9, 16, 13, 9, 13, 16, 81, 100, 91, 144, 142, 157, 117, 112, 133, 81, 91, 100, 117, 133, 112, 144, 157, 142, 729, 784, 757, 900, 961, 931, 819, 877, 853, 1296, 1369, 1333, 1278, 1249, 1237, 1413, 1381, 1456, 1053, 1117, 1099, 1008, 997, 1030, 1197, 1183, 1141
Offset: 0

Views

Author

N. J. A. Sloane, Aug 29 2010

Keywords

Crossrefs

Main diagonal of A325820.
For bases 2 through 10 see A000695, A169999, A170985-A170990 and A059729.

Programs

A170985 Carryless product n X n in base 4.

Original entry on oeis.org

0, 1, 0, 1, 16, 25, 16, 25, 0, 1, 0, 1, 16, 25, 16, 25, 256, 289, 256, 289, 400, 441, 400, 441, 256, 289, 256, 289, 400, 441, 400, 441, 0, 1, 0, 1, 16, 25, 16, 25, 0, 1, 0, 1, 16, 25, 16, 25, 256, 289, 256, 289, 400, 441, 400, 441, 256, 289, 256, 289, 400, 441, 400, 441, 4096, 4225
Offset: 0

Views

Author

N. J. A. Sloane, Aug 29 2010

Keywords

Crossrefs

For bases 2 through 10 see A000695, A169999, A170985-A170990 and A059729.

Programs

  • PARI
    a(n) = fromdigits(Vec(Pol(digits(n, 4))^2)%4, 4); \\ Seiichi Manyama, Mar 09 2023

A169821 a(n) = n*n in carryless arithmetic mod 9 in base 10.

Original entry on oeis.org

0, 1, 4, 0, 7, 7, 0, 4, 1, 0, 100, 121, 144, 160, 187, 117, 130, 154, 171, 100, 400, 441, 484, 430, 477, 427, 460, 414, 451, 400, 0, 61, 34, 0, 67, 37, 0, 64, 31, 0, 700, 781, 774, 760, 757, 747, 730, 724, 711, 700, 700, 711, 724, 730, 747, 757, 760, 774, 781, 700, 0, 31, 64
Offset: 0

Views

Author

Keywords

Comments

Addition and multiplication are the same as in school, that is, done in base 10, except that there are no carries and individual digits are added or multiplied mod 9.

Examples

			13*13 = 160:
..13
..13
----
..30
.13.
----
.160
----
		

Crossrefs

Cf. A010878, A169908. See A170990 for a better version.

A170986 Carryless product n X n in base 5.

Original entry on oeis.org

0, 1, 4, 4, 1, 25, 36, 49, 34, 41, 100, 121, 119, 114, 106, 100, 106, 114, 119, 121, 25, 41, 34, 49, 36, 625, 676, 729, 654, 701, 900, 961, 899, 934, 991, 1225, 1171, 1219, 1139, 1181, 850, 781, 839, 769, 821, 1025, 1091, 1009, 1074, 1111, 2500, 2601, 2579, 2554, 2526
Offset: 0

Views

Author

N. J. A. Sloane, Aug 29 2010

Keywords

Crossrefs

For bases 2 through 10 see A000695, A169999, A170985-A170990 and A059729.

Programs

  • PARI
    a(n) = fromdigits(Vec(Pol(digits(n, 5))^2)%5, 5); \\ Seiichi Manyama, Mar 09 2023

A170987 Carryless product n X n in base 6.

Original entry on oeis.org

0, 1, 4, 3, 4, 1, 36, 49, 64, 39, 52, 61, 144, 169, 160, 147, 172, 157, 108, 109, 112, 111, 112, 109, 144, 157, 172, 147, 160, 169, 36, 61, 52, 39, 64, 49, 1296, 1369, 1444, 1299, 1372, 1441, 1764, 1849, 1936, 1767, 1852, 1933, 2304, 2185, 2248, 2307, 2188, 2245
Offset: 0

Views

Author

N. J. A. Sloane, Aug 29 2010

Keywords

Crossrefs

For bases 2 through 10 see A000695, A169999, A170985-A170990 and A059729.

Programs

  • PARI
    a(n) = fromdigits(Vec(Pol(digits(n, 6))^2)%6, 6); \\ Seiichi Manyama, Mar 09 2023

A170988 Carryless product n X n in base 7.

Original entry on oeis.org

0, 1, 4, 2, 2, 4, 1, 49, 64, 81, 93, 58, 74, 85, 196, 225, 207, 233, 212, 242, 218, 98, 141, 137, 128, 121, 116, 106, 98, 106, 116, 121, 128, 137, 141, 196, 218, 242, 212, 233, 207, 225, 49, 85, 74, 58, 93, 81, 64, 2401, 2500, 2601, 2697, 2452, 2552, 2647, 3136, 3249
Offset: 0

Views

Author

N. J. A. Sloane, Aug 29 2010

Keywords

Crossrefs

For bases 2 through 10 see A000695, A169999, A170985-A170990 and A059729.

Programs

  • PARI
    a(n) = fromdigits(Vec(Pol(digits(n, 7))^2)%7, 7); \\ Seiichi Manyama, Mar 09 2023

A170989 Carryless product n X n in base 8.

Original entry on oeis.org

0, 1, 4, 1, 0, 1, 4, 1, 64, 81, 100, 113, 64, 81, 100, 113, 256, 289, 260, 289, 256, 289, 260, 289, 64, 113, 100, 81, 64, 113, 100, 81, 0, 1, 4, 1, 0, 1, 4, 1, 64, 81, 100, 113, 64, 81, 100, 113, 256, 289, 260, 289, 256, 289, 260, 289, 64, 113, 100, 81, 64, 113, 100, 81, 4096, 4225
Offset: 0

Views

Author

N. J. A. Sloane, Aug 29 2010

Keywords

Crossrefs

For bases 2 through 10 see A000695, A169999, A170985-A170990 and A059729.

Programs

  • PARI
    a(n) = fromdigits(Vec(Pol(digits(n, 8))^2)%8, 8); \\ Seiichi Manyama, Mar 09 2023
Showing 1-7 of 7 results.