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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A271580 Magic sums of 4 X 4 magic squares composed of squares.

Original entry on oeis.org

2823, 3230, 4350, 4590, 6462, 7150, 7735, 7905, 8515, 9230, 9775, 9945, 10625, 11220, 11292, 11310, 11985, 12155, 12675, 12750, 12920, 13050, 13390, 13775, 14355, 14705, 14825, 15275, 15300, 15950, 16150, 16250, 16830, 17300, 17316, 17400, 18315, 18360
Offset: 1

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Author

Arkadiusz Wesolowski, Apr 10 2016

Keywords

Comments

The magic sum of Allan W. Johnson, Jr.'s 4 X 4 magic square of squares (A359383) is 93025. - Robert C. Lyons, Dec 30 2022
The magic sum of Euler's magic square (A358445) is 8515. - Michel Marcus, Dec 30 2022

Examples

			Square with magic constant a(1) = 2823:
  |----|----|----|----|
  | 3^2|  1 |38^2|37^2|
  |----|----|----|----|
  | 2^2|47^2|13^2|21^2|
  |----|----|----|----|
  |43^2|18^2|11^2|23^2|
  |----|----|----|----|
  |31^2|17^2|33^2|22^2|
  |----|----|----|----|
Square with magic constant a(2) = 3230:
  |----|----|----|----|
  |13^2|  1 |42^2|36^2|
  |----|----|----|----|
  | 6^2|48^2|19^2|23^2|
  |----|----|----|----|
  |44^2|22^2| 9^2|27^2|
  |----|----|----|----|
  |33^2|21^2|32^2|26^2|
  |----|----|----|----|

Links

Crossrefs

Cf. A000290, A271579, A271711, A359383, A358445. Subsequence of A271581. Supersequence of A271582.

A271583 Magic sums of 4 X 4 magic squares composed of squares of primes.

Original entry on oeis.org

509020, 736300, 860932, 1368340, 2431780
Offset: 1

Views

Author

Arkadiusz Wesolowski, Apr 10 2016

Keywords

Examples

			Examples of 4 X 4 magic squares composed of squares of primes.
.
|-----|-----|-----|-----|
| 29^2| 71^2|277^2|653^2|
|-----|-----|-----|-----|
|191^2|647^2|211^2| 97^2|
|-----|-----|-----|-----|
|673^2|139^2|163^2|101^2|
|-----|-----|-----|-----|
|137^2|257^2|601^2|251^2|
|-----|-----|-----|-----|
The magic constant is 509020 = a(1).
.
|-----|-----|-----|-----|
|179^2|107^2|383^2|739^2|
|-----|-----|-----|-----|
|353^2|691^2|331^2|157^2|
|-----|-----|-----|-----|
|761^2|283^2|263^2| 89^2|
|-----|-----|-----|-----|
| 23^2|409^2|641^2|397^2|
|-----|-----|-----|-----|
The magic constant is 736300 = a(2).

Links

Crossrefs

Cf. A271580. Subsequence of A271582.
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