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A000163 Series-parallel numbers.
(Formerly M1852 N0732)
+0
1
2, 8, 34, 136, 538, 2080, 7970, 30224, 113874, 426520, 1590338, 5906640, 21866794, 80725280, 297292610, 1092539736, 4007553922, 14675748416, 53663197698, 195962433328, 714734393378, 2603994002280, 9477643739746, 34463730424720 (list; graph; listen)
OFFSET

2,1

REFERENCES

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

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 142.

FORMULA

G.f.: 2*(1+S)/(1-S)^3, where S = g.f. for A000084. [From Sean A. Irvine (sairvin(AT)xtra.co.nz), Oct 14 2009]

CROSSREFS

Sequence in context: A005040 A026577 A111643 this_sequence A117616 A014445 A113440

Adjacent sequences: A000160 A000161 A000162 this_sequence A000164 A000165 A000166

KEYWORD

nonn

AUTHOR

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

EXTENSIONS

More terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Oct 14 2009

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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