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A001932
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Sum of Fibonacci (A000045) and Pell (A000129) numbers.
(Formerly M0844 N0319)
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2
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2, 3, 7, 15, 34, 78, 182, 429, 1019, 2433, 5830, 14004, 33694, 81159, 195635, 471819, 1138286, 2746794, 6629290, 16001193, 38624911, 93240069, 225087338, 543386088, 1311813146, 3166937355, 7645566463, 18457873863, 44560996378
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| 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.
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MAPLE
| gfpell := x/(1-2*x-x^2): gffib := x/(1-x-x^2): s := series(gfpell+gffib, x, 100): for i from 1 to 60 do printf(`%d, `, coeff(s, x, i)) od:
A001932:=-(z+2)*(2*z-1)/(z**2+z-1)/(z**2+2*z-1); [Conjectured (correctly) by S. Plouffe in his 1992 dissertation.]
with (combinat):seq(sum((fibonacci(n, m)), m=1..2), n=1..30); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 19 2008
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CROSSREFS
| Sequence in context: A076698 A078007 A198683 * A005909 A003006 A052321
Adjacent sequences: A001929 A001930 A001931 * A001933 A001934 A001935
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 06 2001
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