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 A182461 a(n) = 3*a(n-1) - 2*a(n-2) with a(0)=16 and a(1)=40. 6
 16, 40, 88, 184, 376, 760, 1528, 3064, 6136, 12280, 24568, 49144, 98296, 196600, 393208, 786424, 1572856, 3145720, 6291448, 12582904, 25165816, 50331640, 100663288, 201326584, 402653176, 805306360, 1610612728, 3221225464, 6442450936, 12884901880 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Number of vertices into building blocks of 3d objects with 4 vertices. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..1000 FORMULA a(n) = a(n-1)*2 + 8. G.f.: 16 + 40*x + 88*x^2 + 184*x^3 + 376*x^4 + 760*x^5 + 1528*x^6 + ... a(n) = 8 * A055010(n+1). [Joerg Arndt, Jun 01 2014] G.f.: -((8*(x - 2))/(2*x^2 - 3*x + 1)). - Vincenzo Librandi, Jun 02 2014 EXAMPLE a(0) = 4+8+4; a(1) = 4+8+16+8+4; a(2) = 4+8+16+32+16+8+4; a(3) = 4+8+16+32+64+32+16+8+4. MATHEMATICA CoefficientList[Series[-((8 (x - 2))/(2 x^2 - 3 x + 1)), {x, 0, 40}], x] (* Vincenzo Librandi, Jun 02 2014 *) CROSSREFS Cf. A000045, A028399, A038578, A089143, A173033, A182462, A182464, A182465, A182466, A182467. Sequence in context: A086046 A184030 A350284 * A205065 A185790 A185761 Adjacent sequences: A182458 A182459 A182460 * A182462 A182463 A182464 KEYWORD nonn,easy AUTHOR Odimar Fabeny, Apr 30 2012 STATUS approved

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Last modified March 31 20:59 EDT 2023. Contains 361673 sequences. (Running on oeis4.)