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A130244 Partial sums of the 'upper' Lucas Inverse A130242. +0
9
0, 0, 0, 2, 5, 9, 13, 17, 22, 27, 32, 37, 43, 49, 55, 61, 67, 73, 79, 86, 93, 100, 107, 114, 121, 128, 135, 142, 149, 156, 164, 172, 180, 188, 196, 204, 212, 220, 228, 236, 244, 252, 260, 268, 276, 284, 292, 300, 309, 318, 327, 336, 345, 354, 363, 372, 381, 390 (list; graph; listen)
OFFSET

0,4

FORMULA

a(n)=sum{0<=k<=n, A130242(k)}=n*A130242(n)-A000032(A130242(n)+1) for n>=3. G.f.: g(x)=x/(1-x)^2*(2x^2+sum{k>=2, x^Lucas(k)}).

CROSSREFS

Other related sequences: A000032, A130241, A130243, A130245, A130246, A130248, A130252, A130258, A130262. Fibonacci inverse see A130233 - A130240, A104162.

Sequence in context: A060636 A050877 A063203 this_sequence A055025 A130235 A129726

Adjacent sequences: A130241 A130242 A130243 this_sequence A130245 A130246 A130247

KEYWORD

nonn

AUTHOR

Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), May 19 2007

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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