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A271711 Irregular table read by rows: n-th row lists the 16 n-gonal numbers of a 4 X 4 magic square with the smallest magic sum, and the sum of the first two terms of each row is as small as it is possible. 3
66, 1, 300, 1035, 465, 630, 171, 136, 780, 105, 496, 21, 91, 666, 435, 210, 9, 1, 1444, 1369, 4, 2209, 169, 441, 1849, 324, 121, 529, 961, 289, 1089, 484, 115787, 24130, 1908012, 543305, 1214550, 1040417, 20475, 315792, 760060, 1526617, 3725, 300832, 500837, 70, 659022, 1431305 (list; graph; refs; listen; history; text; internal format)
OFFSET
3,1
COMMENTS
The magic constants are, respectively: 1402 = A271579(1), 2823 = A271580(1), and 2591234.
LINKS
Eric Weisstein's World of Mathematics, Polygonal Number
EXAMPLE
The magic squares are:
triangular numbers
|----|----|----|----|
| 66 | 1 | 300|1035|
|----|----|----|----|
| 465| 630| 171| 136|
|----|----|----|----|
| 780| 105| 496| 21 |
|----|----|----|----|
| 91 | 666| 435| 210|
|----|----|----|----|
.
square numbers
|----|----|----|----|
| 9 | 1 |1444|1369|
|----|----|----|----|
| 4 |2209| 169| 441|
|----|----|----|----|
|1849| 324| 121| 529|
|----|----|----|----|
| 961| 289|1089| 484|
|----|----|----|----|
.
pentagonal numbers
|-------|-------|-------|-------|
| 115787| 24130 |1908012| 543305|
|-------|-------|-------|-------|
|1214550|1040417| 20475 | 315792|
|-------|-------|-------|-------|
| 760060|1526617| 3725 | 300832|
|-------|-------|-------|-------|
| 500837| 70 | 659022|1431305|
|-------|-------|-------|-------|
CROSSREFS
Sequence in context: A215657 A157631 A085503 * A138843 A033386 A008896
KEYWORD
nonn,tabf
AUTHOR
STATUS
approved

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Last modified April 14 10:04 EDT 2024. Contains 371657 sequences. (Running on oeis4.)