A016516 -id:A016516 - cp's OEIS frontend

A081625 a(n) = 2*5^n - 3^n.

1, 7, 41, 223, 1169, 6007, 30521, 154063, 774689, 3886567, 19472201, 97479103, 487749809, 2439811927, 12202248281, 61020807343, 305132734529, 1525749766087, 7629007110761, 38145810394783, 190731376496849

Offset: 0

Paul Barry, Mar 25 2003

Binomial transform of A016516. Inverse binomial transform of A081626.
Row sums of the triangle of 2^n terms shown in A178590 appears to = A081625. - Gary W. Adamson, May 29 2010
Binomial transform of A006516: (1, 6, 28, 120, 496, ...). - Gary W. Adamson, May 31 2010

Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (8,-15).

Cf. A178590, A006516.

[2*5^n-3^n: n in [0..25]]; // Vincenzo Librandi, Aug 09 2013

CoefficientList[Series[(1 - x) / ((1 - 3 x) (1 - 5 x)), {x, 0, 40}], x] (* Vincenzo Librandi, Aug 09 2013 *)
LinearRecurrence[{8,-15},{1,7},30] (* Harvey P. Dale, Oct 14 2013 *)

a(n) = 8*a(n-1) - 15*a(n-2), a(0)=1, a(1)=7.
G.f.: (1-x)/((1-3*x)(1-5*x)).
E.g.f. 2*exp(5*x) - exp(3*x).
a(n) = Sum_{k=0..n} A125185(n,k)*3^k. - Philippe Deléham, Feb 26 2012

A016711 Decimal expansion of log(88).

Original entry on oeis.org

4, 4, 7, 7, 3, 3, 6, 8, 1, 4, 4, 7, 8, 2, 0, 6, 4, 7, 2, 3, 1, 3, 6, 3, 9, 9, 4, 2, 3, 3, 9, 6, 5, 9, 0, 0, 4, 0, 4, 8, 2, 0, 7, 2, 5, 7, 0, 1, 8, 1, 8, 2, 9, 3, 7, 5, 8, 0, 6, 0, 7, 7, 3, 7, 6, 1, 0, 7, 5, 4, 4, 8, 9, 8, 2, 2, 3, 2, 0, 8, 5, 9, 8, 9, 2, 6, 4, 4, 6, 8, 8, 9, 9, 1, 8, 9, 0, 8, 5

Offset: 1

N. J. A. Sloane

			4.477336814478206472313639942339659004048207257018182937580607737610754....

Harry J. Smith, Table of n, a(n) for n = 1..20000
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
Index entries for transcendental numbers

Cf. A016516 (continued fraction).

SetDefaultRealField(RealField(100)); Log(88); // G. C. Greubel, Sep 17 2018

RealDigits[Log[88], 10, 100][[1]] (* G. C. Greubel, Sep 17 2018 *)

default(realprecision, 20080); x=log(88); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b016711.txt", n, " ", d)); \\ Harry J. Smith, May 24 2009

cp's OEIS Frontend

A081625 a(n) = 2*5^n - 3^n.

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