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A006583 Sum k OR n-k, k = 1 . . n-1.
(Formerly M4069)
+0
3
1, 6, 8, 16, 25, 42, 44, 56, 69, 94, 108, 136, 165, 210, 208, 224, 241, 278, 296, 336, 377, 442, 460, 504, 549, 622, 668, 744, 821, 930, 912, 928, 945, 998, 1016, 1072, 1129, 1226, 1244, 1304 (list; graph; listen)
OFFSET

2,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Marc LeBrun (mlb(AT)well.com), personal communication.

FORMULA

G.f.: 1/(1-x)^2 * sum(k>=0, 2^k*t^2(4t^2+6t+1)/(1+t)^2, t=x^2^k). - R. Stephan, Feb 12 2003

a(0)=a(1)=0, a(2n) = 2a(n)+2a(n-1)+5n-4, a(2n+1) = 4a(n)+6n. - Ralf Stephan, 0ct 09 2003

CROSSREFS

Antidiagonal sums of array A003986.

Sequence in context: A074838 A048228 A067543 this_sequence A011989 A127400 A025081

Adjacent sequences: A006580 A006581 A006582 this_sequence A006584 A006585 A006586

KEYWORD

nonn,base

AUTHOR

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

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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