A093378 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

A093378

a(n) = numerator of any non-diagonal entry of the matrix A^n, where A is described in the Comments lines.

2, 12, 22, 168, 1558, 5148, 8062, 177072, 860882, 738492, 121008888, 298775878, 1232566932, 14864798542, 58374617952 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`A =` `[ -3/5 -(2/5)i, -(2/5)i, -(2/5)i, -(2/5)i ]` `[ -(2/5)i, -3/5 +(2/5)i, -(2/5)i, (2/5)i ]` `[ -(2/5)i, -(2/5)i, -3/5 +(2/5)i, (2/5)i ]` `[ -(2/5)i, (2/5)i, (2/5)i, -3/5 -(2/5)i ]` `is the Cayley transform of the matrix iH, where H =` `[1, 1, 1, 1]` `[1, -1, 1, -1]` `[1, 1, -1, -1]` `[1, -1, -1, 1]` `is a Hadamard matrix of order 4 and i is the imaginary unit.`
	LINKS	`Table of n, a(n) for n=1..15.`
	CROSSREFS	`Cf. A066771.` `Sequence in context: A073211 A233137 A094626 * A012664 A012545 A009514` `Adjacent sequences: A093375 A093376 A093377 * A093379 A093380 A093381`
	KEYWORD	`nonn,frac,more`
	AUTHOR	`Simone Severini, Apr 28 2004`
	STATUS	`approved`

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 23 23:09 EDT 2023. Contains 361454 sequences. (Running on oeis4.)