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A082870
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Tribonacci array.
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1
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1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 4, 6, 2, 1, 5, 10, 7, 1, 1, 6, 15, 16, 6, 1, 7, 21, 30, 19, 3, 1, 8, 28, 50, 45, 16, 1, 1, 9, 36, 77, 90, 51, 10, 1, 10, 45, 112, 161, 126, 45, 4, 1, 11, 55, 156, 266, 266, 141, 30, 1, 1, 12, 66, 210, 414, 504, 357, 126, 15, 1, 13, 78, 275, 615, 882
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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COMMENTS
| Row sums are tribonacci numbers.
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REFERENCES
| Thomas Koshy, <"Fibonacci and Lucas Numbers with Applications">, Wiley, 2001; Chapter 47: Tribonacci Polynomials: ("In 1973, V.E. Hoggat, Jr. and M. Bicknell generalized Fibonacci polynomials to Tribonacci polynomials tx(x)"); Table 47.1, page 534: "Tribonacci Array".
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FORMULA
| G.f.: x/(1-x-x^2*y-x^3*y^2). - Vladeta Jovovic (vladeta(AT)eunet.rs), May 30 2003
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EXAMPLE
| Triangle begins:
1,
1,
1,1,
1,2,1,
1,3,3,
1,4,6,2,
1,5,10,7,1,
1,6,15,16,6,
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CROSSREFS
| A082601 is a better version. Cf. A000073, A078802.
Sequence in context: A162981 A029264 A124054 * A026009 A137171 A010356
Adjacent sequences: A082867 A082868 A082869 * A082871 A082872 A082873
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KEYWORD
| nonn,tabf
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), May 24 2003
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EXTENSIONS
| More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), May 30 2003
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