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 A264237 Sum of values of vertices at level n of the hyperbolic Pascal pyramid. 7
 1, 3, 9, 33, 165, 1137, 9837, 95193, 962541, 9884889, 102049197, 1055383929, 10921055661, 113032307769, 1169952636525, 12109971475065, 125349031354029, 1297477519769145, 13430093334225645, 139013932289379321, 1438923355509080877, 14894194022848480185 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Colin Barker, Table of n, a(n) for n = 0..987 László Németh, Hyperbolic Pascal pyramid, arXiv:1511.02067 [math.CO], 2015 (6th line of Table 2). Index entries for linear recurrences with constant coefficients, signature (18,-99,226,-224,92,-12). FORMULA a(n) = 18*a(n-1) - 99*a(n-2) + 226*a(n-3) - 224*a(n-4) + 92*a(n-5) - 12*a(n-6), for n >= 7. G.f.: -(20*x^5-8*x^4+58*x^3-54*x^2+15*x-1) / ((x-1)*(2*x^2-4*x+1)*(6*x^3-28*x^2+13*x-1)). - Colin Barker, Nov 09 2015 MATHEMATICA CoefficientList[Series[-(20*x^5 - 8*x^4 + 58*x^3 - 54*x^2 + 15*x - 1)/((x - 1)*(2*x^2 - 4*x + 1)*(6*x^3 - 28*x^2 + 13*x - 1)), {x, 0, 20}], x] (* Wesley Ivan Hurt, Sep 17 2017 *) PROG (PARI) Vec(-(20*x^5-8*x^4+58*x^3-54*x^2+15*x-1)/((x-1)*(2*x^2-4*x+1)*(6*x^3-28*x^2+13*x-1)) + O(x^30)) \\ Colin Barker, Nov 09 2015 CROSSREFS Cf. A035344, A264236. Sequence in context: A007489 A294638 A201968 * A097677 A138769 A100076 Adjacent sequences:  A264234 A264235 A264236 * A264238 A264239 A264240 KEYWORD nonn,easy AUTHOR Michel Marcus, Nov 09 2015 EXTENSIONS Definition edited by Eric M. Schmidt, Sep 17 2017 STATUS approved

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Last modified September 24 03:11 EDT 2021. Contains 347620 sequences. (Running on oeis4.)