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Search: id:A001550
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| A001550 |
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1^n + 2^n + 3^n.
(Formerly M2580 N1020)
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+0
86
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| 3, 6, 14, 36, 98, 276, 794, 2316, 6818, 20196, 60074, 179196, 535538, 1602516, 4799354, 14381676, 43112258, 129271236, 387682634, 1162785756, 3487832978, 10462450356, 31385253914, 94151567436, 282446313698, 847322163876
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 813.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..200
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].
S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures}, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 363
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FORMULA
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G.f.: (3-12*x+11*x^2)/(1-6*x+11*x^2-6*x^3). a(n) = 5*a(n-1)-6*a(n-2)+2.
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MAPLE
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A001550:=-(3-12*z+11*z**2)/(z-1)/(3*z-1)/(2*z-1); [Conjectured by S. Plouffe in his 1992 dissertation.]
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MATHEMATICA
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Table[1^n + 2^n + 3^n, {n, 0, 25}]
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CROSSREFS
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Cf. A001576, A034513, A001579, A074501 - A074580.
Column 3 of array A103438.
Sequence in context: A078062 A018017 A129703 this_sequence A100446 A106395 A079003
Adjacent sequences: A001547 A001548 A001549 this_sequence A001551 A001552 A001553
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KEYWORD
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easy,nice,nonn
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AUTHOR
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njas
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EXTENSIONS
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Recurrence and additional terms from Michael Somos
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