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Palindromic Sums ofCubes of Consecutive Integers | |||

Sums of Squares Sums of Primes Sums of Powers |

A nice coincidence occurred with Four Consecutive Integers

59 + 60 + 61 + 62 = 242

59^{3}+ 60^{3}+ 61^{3}+ 62^{3}= 886688

Huen Y.K. from Singapore developed a general generating function for palindromic sums and products

of consecutive integers using concise programcode written for Macsyma 2.2.1.

Global Generating Function For Palindromic Sums and Products of Consecutive Integers.

Neil Sloane's "Integer Sequences" Encyclopedia can be consulted online :The regular numbers of form n ^{3} + (n+1)^{3} [sums of two cubed consecutives] :The regular numbers of form n ^{3} + (n+1)^{3} + (n+2)^{3} [sums of three cubed consecutives] :The regular numbers of form n ^{3} + (n+1)^{3} + (n+2)^{3} + (n+3)^{3} [sums of four cubed consecutives] :The regular numbers of form n ^{3} + (n+1)^{3} + (n+2)^{3} + (n+3)^{3} + (n+4)^{3} [sums of five cubed consecutives] :Click here to view some of the author's [ P. De Geest] entries to the table.Click here to view some entries to the table about palindromes. |

Index Nr | Base Square Expression | |
---|---|---|

Palindromic Sums of Cubes of Consecutive Integers | Length | |

Sums of Cubes of FIVE Consecutive Integers Searched for palindromes upto length 19. | ||

1 | ?^{3} + ?^{3} + ?^{3} + ?^{3} + ?^{3} | |

? | ? | |

Sums of Cubes of FOUR Consecutive Integers Searched for palindromes upto length 20. | ||

1 | 59^{3} + 60^{3} + 61^{3} + 62^{3} | |

886.688 | 6 | |

Sums of Cubes of THREE Consecutive Integers Searched for palindromes upto length 19. | ||

2 | 16^{3} + 17^{3} + 18^{3} | |

14.841 | 5 | |

1 | 2^{3} + 3^{3} + 4^{3} | |

99 | 2 | |

Sums of Cubes of TWO Consecutive Integers Searched for palindromes upto length 20. | ||

2 | 16^{3} + 17^{3} | |

9.009 | 4 | |

1 | 1^{3} + 2^{3} | |

9 | 1 |

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Patrick De Geest - Belgium - Short Bio - Some Pictures

E-mail address : pdg@worldofnumbers.com