login
This site is supported by donations to The OEIS Foundation.

 

Logo

The OEIS Foundation is grateful to everyone who made a donation during our Annual Appeal.     Visit the new and spectacular Pictures from the OEIS page!

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A000137 Series-parallel numbers.
(Formerly M1625 N0636)
2
1, 2, 6, 18, 58, 186, 614, 2034, 6818, 22970, 77858, 264970, 905294, 3102434, 10661370, 36722642, 126752218, 438294018, 1518032598, 5265341314, 18286911130, 63586988434, 221342104842, 771235606050, 2689688538646, 9388096331642 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

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

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

Sean A. Irvine, Table of n, a(n) for n = 1..1000

FORMULA

G.f.: (1+S)/(1-S), where S = g.f. for A000084.

MATHEMATICA

n = 30; s = 1/(1 - x) + O[x]^(n + 1); Do[s = s/(1 - x^k)^Coefficient[s, x^k] + O[x]^(n + 1), {k, 2, n}] ; S = s - 1; CoefficientList[(1 + S)/(1 - S) + O[x]^n, x] (* Jean-Fran├žois Alcover, Feb 09 2016 *)

CROSSREFS

Cf. A036654, A036655, A058756, A000084.

Sequence in context: A148458 A148459 A081057 * A151282 A193777 A157004

Adjacent sequences:  A000134 A000135 A000136 * A000138 A000139 A000140

KEYWORD

nonn,easy,changed

AUTHOR

N. J. A. Sloane

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified February 13 18:43 EST 2016. Contains 268290 sequences.