Some Nice Sample Number Patterns

From the Pages of REC

1 = 1 = 1x1 = 1²

1+2+1 = 2+2 = 2x2 = 2²

1+2+3+2+1 = 3+3+3 = 3x3 = 3²

1+2+3+4+3+2+1 = 4+4+4+4 = 4x4 = 4²

1+2+3+4+5+4+3+2+1 = 5+5+5+5+5 = 5x5 = 5²

1+2+3+4+5+6+5+4+3+2+1 = 6+6+6+6+6+6 = 6x6 = 6²

1+2+3+4+5+6+7+6+5+4+3+2+1 = 7+7+7+7+7+7+7 = 7x7 = 7²

1+2+3+4+5+6+7+8+7+6+5+4+3+2+1 = 8+8+8+8+8+8+8+8 = 8x8 = 8²

1+2+3+4+5+6+7+8+9+8+7+6+5+4+3+2+1 = 9+9+9+9+9+9+9+9+9 = 9x9 = 9²

 

(The next set shows narcissistic numbers of various orders.

These have appeared recurringly in REC.)

 

153 = 1³ + 5³ + 3³

1634 = 1⁴ + 6⁴ + 3⁴ + 4⁴

54748 = 5⁵ + 4⁵ + 7⁵ + 4⁵ + 8⁵

548834 = 5⁶ + 4⁶ + 8⁶ + 8⁶ + 3⁶ + 4⁶

1741725 = 1⁷ + 7⁷ + 4⁷ + 1⁷ + 7⁷ + 2⁷ + 5⁷

24678050 = 2⁸ + 4⁸ + 6⁸ + 7⁸ + 8⁸ + 0⁸ + 5⁸ + 0⁸

146511208 = 1⁹ + 4⁹ + 6⁹ + 5⁹ + 1⁹ + 1⁹ + 2⁹ + 0⁹ + 8⁹

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