A curious property of series involving terms of generalized sequences.
Brugia, Odoardo, Filipponi, Piero (2000)
International Journal of Mathematics and Mathematical Sciences
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Brugia, Odoardo, Filipponi, Piero (2000)
International Journal of Mathematics and Mathematical Sciences
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Balamohan, B., Kuznetsov, A., Tanny, Stephen (2007)
Journal of Integer Sequences [electronic only]
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Florek, W., Lulek, T. (1991)
Séminaire Lotharingien de Combinatoire [electronic only]
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Hua, Jun, Moseley, James L. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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El-Sayed, A.M.A., Hashem, H.H.G. (2009)
The Journal of Nonlinear Sciences and its Applications
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Mordechay Levin, Meir Smorodinsky (2000)
Colloquium Mathematicae
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We extend the Davenport and Erdős construction of normal numbers to the case.
Erin McAfee, Kenneth S. Williams (2006)
Journal de Théorie des Nombres de Bordeaux
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An elementary proof is given of an arithmetic formula, which was stated but not proved by Liouville. An application of this formula yields a formula for the number of representations of a positive integer as the sum of twelve triangular numbers.
Szalay, I. (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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William C. Jagy (1996)
Acta Arithmetica
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1. Introduction. In a recent article [6], the positive definite ternary quadratic forms that can possibly represent all odd positive integers were found. There are only twenty-three such forms (up to equivalence). Of these, the first nineteen were proven to represent all odd numbers. The next four are listed as "candidates". The aim of the present paper is to show that one of the candidate forms h = x² + 3y² + 11z² + xy + 7yz does represent all odd (positive) integers, and that it is...
Brodovich, M.T. (2002)
Sibirskij Matematicheskij Zhurnal
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Garsia, Adriano, Haiman, Mark, Tesler, Glenn (1999)
Séminaire Lotharingien de Combinatoire [electronic only]
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