A265083 Column 3 of array in A265080.

0, 3, 12, 51, 192, 675, 2358, 8043, 26736, 88659, 290910, 941985, 3046068, 9791613, 31221414, 99466515, 315677664, 996398883, 3143147598, 9888728505, 30988353300, 97066250379, 303448558578, 945804661377, 2946961001304, 9168357598425, 28456994858058, 88302639334743

Offset: 0

Author

N. J. A. Sloane, Jan 01 2016

Keywords

• nonn

Links

• Andrew Howroyd, Table of n, a(n) for n = 0..500
• D. R. L. Brown, Bounds on surmising remixed keys, IACR, Report 2015/375, 2015-2016. See Table 1.

Crossrefs

Cf. A265080.

Programs

PARI

seq(n)={Vec(serlaplace(sum(j=0, n, exp(3*x + O(x*x^n)) - sum(i=0, j, x^i/i!, O(x*x^n))^3)), -n-1)} \\ Andrew Howroyd, Aug 09 2025

Formula

E.g.f.: Sum_{j>=0} (exp(x)^3 - (Sum_{i=0..j} x^i/i!)^3). - Andrew Howroyd, Aug 09 2025

Extensions

a(6) onwards from Andrew Howroyd, Aug 09 2025