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 A158347 Number of n-colorings of the Walther Graph. 2
 0, 0, 2, 4033920, 159894687204, 301280127057920, 100770286250343750, 11334165274707633792, 603801344040208577480, 18674487128527060598784, 382076301190534627489290, 5650667805968496542000000, 64331764646611255469788332, 590498122988857695000330240 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The Walther Graph has 25 vertices and 31 edges. LINKS Alois P. Heinz, Table of n, a(n) for n = 0..1000 Timme, Marc; van Bussel, Frank; Fliegner, Denny; Stolzenberg, Sebastian (2009) "Counting complex disordered states by efficient pattern matching: chromatic polynomials and Potts partition functions", New J. Phys. 11 023001, doi: 10.1088/1367-2630/11/2/023001. Weisstein, Eric W. "Walther Graph". Weisstein, Eric W. "Chromatic Polynomial". Index entries for linear recurrences with constant coefficients, signature (26, -325, 2600, -14950, 65780, -230230, 657800, -1562275, 3124550, -5311735, 7726160, -9657700, 10400600, -9657700, 7726160, -5311735, 3124550, -1562275, 657800, -230230, 65780, -14950, 2600, -325, 26, -1). FORMULA a(n) = n^25 -31*n^24 + ... (see Maple program). MAPLE a:= n-> n^25 -31*n^24 +465*n^23 -4494*n^22 +31437*n^21 -169528*n^20 +732875*n^19 -2607473*n^18 +7777403*n^17 -19708162*n^16 +42836515*n^15 -80400727*n^14 +130882589*n^13 -185209067*n^12 +227870356*n^11 -243267982*n^10 +224314530*n^9 -177255496*n^8 +118586759*n^7 -65961560*n^6 +29694659*n^5 -10386912*n^4 +2643810*n^3 -434456*n^2 +34489*n: seq(a(n), n=0..20); CROSSREFS Sequence in context: A337368 A137601 A232962 * A273354 A352126 A157991 Adjacent sequences: A158344 A158345 A158346 * A158348 A158349 A158350 KEYWORD nonn,easy AUTHOR Alois P. Heinz, Mar 16 2009 STATUS approved

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Last modified August 2 21:27 EDT 2024. Contains 374875 sequences. (Running on oeis4.)