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A265141 Irregular table read by rows: n-th row lists the 9 n-gonal numbers of a 3 X 3 semimagic square with the smallest magic sum. The terms of each row are arranged in the manner shown in A261816. 6
15, 66, 630, 231, 435, 45, 465, 210, 36, 16, 529, 2704, 1024, 1936, 289, 2209, 784, 256, 651, 54626, 356972, 135751, 241001, 35497, 275847, 116622, 19780, 6, 39621, 481671, 158766, 345696, 16836, 362526, 135981, 22791, 697, 93799, 662290, 298771, 448804, 9211, 457318, 214183, 85285 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,1

COMMENTS

The squares presented in this sequence are basic semimagic. For a definition of basic semimagic squares, see A261816.

The magic constants are, respectively: 711 = A269060(1), 3249 = 57^2 = A269061(1), and 412249.

LINKS

Arkadiusz Wesolowski, Rows n = 3..8, flattened

Eric Weisstein's World of Mathematics, Polygonal Number

Index entries for sequences related to magic squares

EXAMPLE

The semimagic squares are:

triangular numbers

|---|---|---|

| 15| 66|630|

|---|---|---|

|231|435| 45|

|---|---|---|

|465|210| 36|

|---|---|---|

.

square numbers

|----|----|----|

| 16 | 529|2704|

|----|----|----|

|1024|1936| 289|

|----|----|----|

|2209| 784| 256|

|----|----|----|

.

pentagonal numbers

|------|------|------|

|  651 | 54626|356972|

|------|------|------|

|135751|241001| 35497|

|------|------|------|

|275847|116622| 19780|

|------|------|------|

CROSSREFS

Cf. A269060, A269061, A265142.

Sequence in context: A088058 A062392 A211787 * A336624 A211917 A015876

Adjacent sequences:  A265138 A265139 A265140 * A265142 A265143 A265144

KEYWORD

nonn,tabf

AUTHOR

Arkadiusz Wesolowski, Dec 02 2015

EXTENSIONS

More terms from Arkadiusz Wesolowski, Apr 03 2016

STATUS

approved

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Last modified May 28 15:04 EDT 2022. Contains 354115 sequences. (Running on oeis4.)