A338587 Numerators of resistance values < 1 ohm that can be obtained from a network of exactly 7 one-ohm resistors, but not from any network with fewer than 7 one-ohm resistors. Denominators are in A338597.

1, 2, 3, 3, 4, 5, 5, 4, 5, 6, 7, 6, 5, 7, 8, 7, 7, 8, 7, 11, 9, 10, 11, 10, 13, 9, 11, 10, 11, 13, 12, 9, 11, 13, 13, 11, 9, 12, 13, 11, 14, 10, 11, 15, 9, 14, 16, 17, 7, 8, 19, 11, 12, 13, 14, 15, 18

Offset

1,2

Links

Table of n, a(n) for n=1..57.

Example

The list of the 114 = A338197(7) resistance values, sorted by increasing size of R = a(n)/A338597(n) = A338607(n)/A338600(7), is the union of [1/7, 2/11, 3/14, ..., 14/15, 15/16, 18/19] and of the corresponding reciprocal resistances > 1 ohm [19/18, 16/15, 15/14, ..., 14/3, 11/2, 7].

Crossrefs

Cf. A338197, A338597, A338607.

Cf. A338595, A338596, A338598, A338599, A338590 (similar for n = 5..10).

Sequence in context: A241435 A349320 A078338 * A338580 A278149 A007306

Adjacent sequences: A338584 A338585 A338586 * A338588 A338589 A338590

Keyword

nonn,frac,fini,full

Author

Hugo Pfoertner, Nov 05 2020

Status

approved