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A001932 Sum of Fibonacci (A000045) and Pell (A000129) numbers.
(Formerly M0844 N0319)
+0
2
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; listen)
OFFSET

0,1

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).

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.

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

CROSSREFS

Sequence in context: A076993 A076698 A078007 this_sequence A005909 A003006 A052321

Adjacent sequences: A001929 A001930 A001931 this_sequence A001933 A001934 A001935

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 06 2001

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.


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