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A051045 Number of distinct resistances possible for n resistors with resistances 1, 2, ..., n, each connected in series or parallel to the previous one. 4
1, 2, 8, 44, 298, 2350, 22774, 252079, 3154451 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
For n = 4, there would be an additional 4 possible values if circuits were allowed that combine complex subcircuits in series or parallel, rather than requiring that one of them consists of a single resistor. See illustration in links. - Kival Ngaokrajang, Aug 22 2013 (rephrased by Dave R.M. Langers, Nov 13 2013)
LINKS
Sean A. Irvine, Java program (github)
Kival Ngaokrajang, Illustration for n = 4
Eric Weisstein's World of Mathematics, Resistor Network.
CROSSREFS
Cf. A005840.
Sequence in context: A357832 A318977 A111537 * A112912 A303613 A321942
KEYWORD
nonn,more
AUTHOR
EXTENSIONS
Offset corrected and a(8)-a(9) from Sean A. Irvine, Aug 23 2021
STATUS
approved

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Last modified August 30 15:13 EDT 2024. Contains 375545 sequences. (Running on oeis4.)