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 A123203 A007318 * [1, 1, 4, 4, 4,...]. 8
 1, 2, 7, 20, 49, 110, 235, 488, 997, 2018, 4063, 8156, 16345, 32726, 65491, 131024, 262093, 524234, 1048519, 2097092, 4194241, 8388542, 16777147, 33554360, 67108789, 134217650, 268435375, 536870828, 1073741737, 2147483558 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS An elephant sequence, see A175654. For the corner squares just one A vector, with decimal value 186, leads to this sequence. For the central square this vector leads to the companion sequence A036563. - Johannes W. Meijer, Aug 15 2010 REFERENCES Tamas Lengyel, On p-adic properties of the Stirling numbers of the first kind, Journal of Number Theory, 148 (2015) 73-94. LINKS Index entries for linear recurrences with constant coefficients, signature (4,-5,2). FORMULA Binomial transform of [1, 1, 4, 4, 4,...] Row sums of triangle A131061. From Johannes W. Meijer, Aug 15 2010: (Start) a(n) = 2^(1+n) - 3*n. a(n) = 3*A000295(n-1) + A000079(n-1). (End) G.f.: x*(1 - 2*x + 4*x^2)/((1-x)^2*(1-2*x)). - Colin Barker, Jul 28 2012 a(n) = 4*a(n-1) - 5*a(n-2) + 2*a(n-3). - Colin Barker, Jul 29 2012 EXAMPLE a(4) = 20, row sums of 4th row of triangle A131062: (1, 9, 9, 1). a(4) = 20 = (1, 3, 3, 1) dot (1, 1, 4, 4) = (1 + 3 + 12 + 4). MATHEMATICA s=1; lst={s}; Do[s+=(s+=n)+n++; AppendTo[lst, s], {n, 0, 5!, 1}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 15 2008 *) CROSSREFS Cf. A109128, A131060, A131061, A131063, A131064, A131065, A131066. Sequence in context: A090145 A244307 A270109 * A309298 A335927 A261054 Adjacent sequences:  A123200 A123201 A123202 * A123204 A123205 A123206 KEYWORD nonn,easy AUTHOR Gary W. Adamson, Jun 13 2007 EXTENSIONS More terms from Vladimir Joseph Stephan Orlovsky, Nov 15 2008 The two given formulas corrected by Colin Barker, Jul 28 2012 STATUS approved

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Last modified May 15 03:16 EDT 2021. Contains 343909 sequences. (Running on oeis4.)