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 1-5 of 5 results.

A269061 Magic sums of 3 X 3 semimagic squares composed of positive squares.

Original entry on oeis.org

3249, 3969, 5041, 5691, 6241, 6561, 7329, 8281, 8649, 8841, 9025, 9801, 10011, 10794, 11025, 11306, 11449, 11881, 12219, 12321, 12769, 12996, 13689, 13699, 13701, 14114, 14161, 14641, 15129, 15876, 16129, 16186, 16625, 16641, 17059, 17081, 17161, 17689
Offset: 1

Views

Author

Arkadiusz Wesolowski, Feb 18 2016

Keywords

Examples

			A semimagic square with sum 3249:
  |----|----|----|
  | 16 | 529|2704|
  |----|----|----|
  |1024|1936| 289|
  |----|----|----|
  |2209| 784| 256|
  |----|----|----|

Links

Crossrefs

Subsequence of A265198 and A269062.
Cf. A000290, A265141, A269060.

A269060 Magic sums of 3 X 3 semimagic squares composed of positive triangular numbers.

Original entry on oeis.org

711, 1251, 1712, 2132, 2616, 2812, 2934, 3357, 3441, 3781, 3812, 4156, 4288, 4842, 4971, 4972, 5346, 5382, 5659, 5842, 5886, 6147, 6159, 6402, 6734, 7062, 7312, 7403, 7592, 7722, 8034, 8342, 8831, 8862, 8961, 9092, 9117, 9496, 9987, 10066, 10261, 10341
Offset: 1

Views

Author

Arkadiusz Wesolowski, Feb 18 2016

Keywords

Examples

			A semimagic square with sum 711:
  |----|----|----|
  | 15 | 66 |630 |
  |----|----|----|
  |231 |435 | 45 |
  |----|----|----|
  |465 |210 | 36 |
  |----|----|----|

Links

Crossrefs

Subsequence of A265197 and A269062.
Cf. A000217, A265141, A269061.

A265197 Magic sums of 3 X 3 semimagic squares composed of triangular numbers.

Original entry on oeis.org

711, 1251, 1527, 1712, 2132, 2486, 2616, 2812, 2934, 3357, 3441, 3781, 3812, 4156, 4288, 4842, 4971, 4972, 5034, 5346, 5382, 5659, 5842, 5886, 6147, 6159, 6402, 6734, 6747, 7062, 7312, 7403, 7592, 7722, 8034, 8102, 8342, 8831, 8862, 8961, 9092, 9117
Offset: 1

Views

Author

Arkadiusz Wesolowski, Dec 04 2015

Keywords

Comments

These semimagic squares are composed of 9 distinct triangular numbers >= 0.

Examples

			A semimagic square with sum 1527:
  |----|----|----|
  | 0  |351 |1176|
  |----|----|----|
  |666 |741 |120 |
  |----|----|----|
  |861 |435 |231 |
  |----|----|----|

Links

Crossrefs

Cf. A000217, A265141, A265198, A269060 (for positive triangular numbers).

A265198 Magic sums of 3 X 3 semimagic squares composed of squares.

Original entry on oeis.org

3249, 3969, 4225, 5041, 5691, 6241, 6561, 7225, 7329, 8281, 8649, 8841, 9025, 9801, 10011, 10794, 11025, 11306, 11449, 11881, 12219, 12321, 12769, 12996, 13689, 13699, 13701, 14114, 14161, 14641, 15129, 15625, 15876, 16129, 16186, 16625, 16641, 16900
Offset: 1

Views

Author

Arkadiusz Wesolowski, Dec 04 2015

Keywords

Comments

These semimagic squares are composed of 9 distinct square numbers >= 0.

Examples

			A semimagic square with sum 4225:
  |----|----|----|
  |  0 | 625|3600|
  |----|----|----|
  |1521|2304| 400|
  |----|----|----|
  |2704|1296| 225|
  |----|----|----|

Links

Crossrefs

Cf. A000290, A265141, A265197, A269061 (for positive squares).

A265142 a(n) = smallest magic sum of any 3 X 3 semimagic square composed of n-gonal numbers.

Original entry on oeis.org

711, 3249, 412249, 521298, 756786, 1076461
Offset: 3

Views

Author

Arkadiusz Wesolowski, Dec 02 2015

Keywords

Links

Crossrefs

Cf. A269060, A269061, A265141.

Formula

a(n) = Sum_{k=1..3} A265141(n,k).

Extensions

a(6)-a(8) from Arkadiusz Wesolowski, Apr 03 2016
Showing 1-5 of 5 results.

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

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