A381281
Expansion of e.g.f. 1/(1 - x * cosh(3*x)).
Original entry on oeis.org
1, 1, 2, 33, 240, 2145, 33120, 480753, 7878528, 158696577, 3384322560, 78934776129, 2053186983936, 57231998680545, 1714372871178240, 55323775198258065, 1899762412262031360, 69264871449203672577, 2677542944055160209408, 109197154520146527569505
Offset: 0
-
a185951(n, k) = binomial(n, k)/2^k*sum(j=0, k, (2*j-k)^(n-k)*binomial(k, j));
a(n) = sum(k=0, n, k!*3^(n-k)*a185951(n, k));
A381344
Expansion of e.g.f. 1/( 1 - x * cosh(sqrt(2)*x) ).
Original entry on oeis.org
1, 1, 2, 12, 72, 500, 4560, 47936, 565376, 7572240, 112838400, 1844425792, 32910332928, 636463467328, 13251265570816, 295598326909440, 7034150340034560, 177843592245969152, 4760839037033054208, 134528586280018721792, 4001489050575059025920, 124973219149863342633984
Offset: 0
-
a185951(n, k) = binomial(n, k)/2^k*sum(j=0, k, (2*j-k)^(n-k)*binomial(k, j));
a(n) = sum(k=0, n, k!*2^((n-k)/2)*a185951(n, k));
A381345
Expansion of e.g.f. 1/( 1 - x * cos(sqrt(2)*x) ).
Original entry on oeis.org
1, 1, 2, 0, -24, -220, -1200, -2576, 52864, 1016208, 10909440, 57039488, -687971328, -26190716864, -450123634688, -4238375059200, 24514848522240, 2156422420074752, 54984136073084928, 799573460292407296, 42320889956270080, -425007017470737816576, -15563879892284330213376
Offset: 0
-
a185951(n, k) = binomial(n, k)/2^k*sum(j=0, k, (2*j-k)^(n-k)*binomial(k, j));
a(n) = sum(k=0, n, k!*(-2)^((n-k)/2)*a185951(n, k));
A381343
Expansion of e.g.f. exp( sin(sqrt(2)*x) / sqrt(2) ).
Original entry on oeis.org
1, 1, 1, -1, -7, -15, 25, 287, 721, -2847, -30255, -61697, 682761, 5861713, 3105193, -258188513, -1681060063, 4623681473, 135471132705, 564325398271, -6357495670375, -89817656595791, -84337394884167, 7820620314702879, 67277670159083761, -322108989883888479
Offset: 0
-
a136630(n, k) = 1/(2^k*k!)*sum(j=0, k, (-1)^(k-j)*(2*j-k)^n*binomial(k, j));
a(n) = sum(k=0, n, (-2)^((n-k)/2)*a136630(n, k));
Showing 1-4 of 4 results.
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