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@article{IVM_2016_8_a3, author = {V. E. Kruglov}, title = {On the $n$-arithmetical triangles constructed for polynomial coefficients}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {35--48}, publisher = {mathdoc}, number = {8}, year = {2016}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2016_8_a3/} }
V. E. Kruglov. On the $n$-arithmetical triangles constructed for polynomial coefficients. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2016), pp. 35-48. http://geodesic.mathdoc.fr/item/IVM_2016_8_a3/
[1] Bondarenko B. A., Obobschennye treugolniki i piramidy Paskalya, ikh fraktali, grafy i prilozheniya, Izd-vo “Fan”, Tashkent, 1990 | MR
[2] Tauber S., “Summation formulae for multinomial coefficients”, Fibonacci Quart., 3:2 (1965), 95–100 | MR | Zbl
[3] Abramson M., “Multinomial coefficients”, Math. Mag., 41:4 (1968), 199–205 | DOI | MR | Zbl
[4] Hoggatt V. E. (jr.), Alexanderson G. L., “A property of multinomial coefficients”, Fibonacci Quart., 9:4 (1971), 351–356 | MR | Zbl
[5] Hilliker D. H., “On the muitinomial theorem”, Fibonacci Quart., 15:1 (1977), 22–24 | MR | Zbl
[6] Shannon A. G., “A recurrence relation for generalized multinomial coefficients”, Fibonacci Quart., 17:4 (1979), 344–347 | MR | Zbl
[7] Gupta A. K., “On Pascal's triangle of the third kind”, Biometrische Z., 15 (1973), 389–392 | DOI | MR | Zbl
[8] Bollinger R. C., “A note on Pascal-$T$ triangles, multinomial coefficients, and Pascal pyramids”, Fibonacci Quart., 24:2 (1986), 140–144 | MR | Zbl
[9] Kruglov V. E., “Postroenie fundamentalnoi sistemy reshenii lineinogo raznostnogo uravneniya konechnogo poryadka”, Ukr. matem. zhurn., 61:6 (2009), 777–794 | MR | Zbl
[10] Kuzmin O. V., Obobschennye piramidy Paskalya i ikh prilozheniya, Sibirsk. izd-vo “Nauka”, Novosibirsk, 2000 | MR
[11] Aigner M., Kombinatornaya teoriya, Mir, M., 1982 | MR
[12] Shannon A. G., “Iterative formulas associated with generalized third order recurrence relations”, Siam J. Appl. Math., 23:3 (1972), 364–368 | DOI | MR | Zbl
[13] Pethe S., “Some identities for Tribonacci sequences”, Fibonacci Quart., 26:2 (1988), 144–151 | MR | Zbl
[14] Rabinowitz S., “Algorithmic manipulation of third-order linear recurrences”, Fibonacci Quart., 34:5 (1996), 447–464 | MR | Zbl
[15] Vilenkin V. Ya., Kombinatorika, Nauka, M., 1969 | MR