## Mainly natural numbers: a few elementary studies on Smarandache sequences and other number problems |

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### Contents

An Integer as a Sum of Consecutive Integers | 9 |

A1ternating Iterations of the Eu1er Function and | 16 |

A1ternating Iterations of the Sum of Divisors | 26 |

Copyright | |

7 other sections not shown

### Other editions - View all

Mainly Natural Numbers: A Few Elementary Studies on Smarandache Sequences ... Henry Ibstedt No preview available - 2003 |

### Common terms and phrases

2-2 additive relations 2-2 subtractive relationships 2-cycle alternating iteration behaviour Bencze C-term calculation Charles Ashbacher concatenation congruence consecutive integers contain composite numbers convergent corresponding cycle deconcatenate defined diagram digit sum divisible by 11 Divisors Function Erhus University Press Euler function expressed Fibonacci Quarterly finite number formed by pairs formulas infinite integer sequences interesting invariant or loop iteration results k-k additive relationships Kashihara kmax large number largest number last term natural numbers number formed number of solutions number of terms Number Sequences Number Theory occur Ocean of Numbers pairs of prime patterns periodic sequence Prime factors prime twins Proof Pseudo-Smarandache Function quadratic equation quadratic surd shown in table simple continued fractions smallest integer smallest positive integer Smarandache 2-2 additive Smarandache Ceil Function Smarandache Deconstructive Sequence Smarandache general continued Smarandache Notions Journal Smarandache sequences solution for Q sum of consecutive Theorem UBASIC values of S(n write