Sequences

392,541 sequences

Expansion of log(1+tan(x)*sin(x))/2.A024261
Expansion of log(1+tan(x)*sin(x))/2.
Expansion of tanh(sin(x)^2)/2.A024262
Expansion of tanh(sin(x)^2)/2.
Expansion of sinh(tan(x)*x)/2.A024263
Expansion of sinh(tan(x)*x)/2.
Expansion of tan(sin(x)^2)/2.A024264
Expansion of tan(sin(x)^2)/2.
Expansion of tan(tan(x) * x)/2.A024265
Expansion of tan(tan(x) * x)/2.
Expansion of tanh(x)*tan(tan(x))/2.A024266
Expansion of tanh(x)*tan(tan(x))/2.
Expansion of sin(tan(x)*sinh(x))/2.A024267
Expansion of sin(tan(x)*sinh(x))/2.
Expansion of tanh(tan(x)*sinh(x))/2.A024268
Expansion of tanh(tan(x)*sinh(x))/2.
Expansion of tan(x)*sin(tan(x))/2.A024269
Expansion of tan(x)*sin(tan(x))/2.
Expansion of sin(x)*sin(sin(x))/2.A024270
Expansion of sin(x)*sin(sin(x))/2.
E.g.f. tan(x)*tan(sin(x))/2, even powers only.A024271
E.g.f. tan(x)*tan(sin(x))/2, even powers only.
E.g.f. tan(x)*sinh(x)/2 (even powers only).A024272
E.g.f. tan(x)*sinh(x)/2 (even powers only).
Expansion of sin(tanh(x))*x/2.A024273
Expansion of sin(tanh(x))*x/2.
Expansion of e.g.f. tan(sinh(x))*x/2 (even powers only).A024274
Expansion of e.g.f. tan(sinh(x))*x/2 (even powers only).
E.g.f: log(1+sinh(x)*sin(x))/2 (even powers only).A024275
E.g.f: log(1+sinh(x)*sin(x))/2 (even powers only).
Expansion of sinh(tan(x)*sinh(x))/2.A024276
Expansion of sinh(tan(x)*sinh(x))/2.
E.g.f.: log(1+tanh(x)*tan(x))/2 (even powers only).A024277
E.g.f.: log(1+tanh(x)*tan(x))/2 (even powers only).
Expansion of e.g.f.: tan(tan(x))*sin(x)/2.A024278
Expansion of e.g.f.: tan(tan(x))*sin(x)/2.
Expansion of tan(tan(x)*sinh(x))/2.A024279
Expansion of tan(tan(x)*sinh(x))/2.
Expansion of tanh(tan(x)^2)/2.A024280
Expansion of tanh(tan(x)^2)/2.
Expansion of sin(tan(x)^2)/2.A024281
Expansion of sin(tan(x)^2)/2.
Expansion of e.g.f. tanh(x)*sin(sin(x))/2, even powers only.A024282
Expansion of e.g.f. tanh(x)*sin(sin(x))/2, even powers only.
E.g.f. (1/2) * tan(x)^2 (even powers only).A024283
E.g.f. (1/2) * tan(x)^2 (even powers only).
Expansion of sin(x)*sin(tanh(x))/2.A024284
Expansion of sin(x)*sin(tanh(x))/2.
Expansion of tanh(sin(x))*sin(x)/2.A024285
Expansion of tanh(sin(x))*sin(x)/2.
Expansion of e.g.f. log(1+sin(x)*x)/2 (even coefficients).A024286
Expansion of e.g.f. log(1+sin(x)*x)/2 (even coefficients).
Expansion of sinh(tan(x)^2)/2.A024287
Expansion of sinh(tan(x)^2)/2.
Expansion of log(1+tanh(x)*sinh(x))/2.A024288
Expansion of log(1+tanh(x)*sinh(x))/2.
Expansion of e.g.f. of tan(tan(x))*x/2 (even powers only).A024289
Expansion of e.g.f. of tan(tan(x))*x/2 (even powers only).
Expansion of tan(tan(x)^2)/2.A024290
Expansion of tan(tan(x)^2)/2.
Expansion of tan(x)*sinh(tan(x))/2.A024291
Expansion of tan(x)*sinh(tan(x))/2.
Expansion of tan(x)*tan(sinh(x))/2.A024292
Expansion of tan(x)*tan(sinh(x))/2.
Expansion of e.g.f. log(1+sin(x)^2)/2 (even-indexed coefficients).A024293
Expansion of e.g.f. log(1+sin(x)^2)/2 (even-indexed coefficients).
Expansion of tan(tan(x))*sinh(x)/2.A024294
Expansion of tan(tan(x))*sinh(x)/2.
Expansion of log(1+tanh(x)*x)/2.A024295
Expansion of log(1+tanh(x)*x)/2.
E.g.f.: log(1+tan(x)*sinh(x))/2 (even powers only).A024296
E.g.f.: log(1+tan(x)*sinh(x))/2 (even powers only).
Expansion of e.g.f. tan(x)*tan(tan(x))/2 (even powers only).A024297
Expansion of e.g.f. tan(x)*tan(tan(x))/2 (even powers only).
Expansion of log(1+tanh(x)*sin(x))/2.A024298
Expansion of log(1+tanh(x)*sin(x))/2.
a(n) = (2*n)! [x^(2*n)] log(1 + tanh(x)^2)/2.A024299
a(n) = (2*n)! [x^(2*n)] log(1 + tanh(x)^2)/2.
Expansion of tan(sin(x))*sin(x)/2.A024300
Expansion of tan(sin(x))*sin(x)/2.
E.g.f.: sin(x)*sin(tan(x))/2 (even powers only).A024301
E.g.f.: sin(x)*sin(tan(x))/2 (even powers only).
Expansion of sin(sinh(x))*x/2.A024302
Expansion of sin(sinh(x))*x/2.
Expansion of tan(tanh(x))*x/2.A024303
Expansion of tan(tanh(x))*x/2.
Expansion of tan(x)*sin(sin(x))/2.A024304
Expansion of tan(x)*sin(sin(x))/2.
a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor((n+1)/2).A024305
a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor((n+1)/2).
a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k=[ (n+1)/2 ], s = (natural numbers >= 2), t = (natural numbers >= 3).A024306
a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k=[ (n+1)/2 ], s = (natural numbers >= 2), t = (natural numbers >= 3).
a(n) = 2*t(n) + 3*t(n-1) + ... + (k+1)*t(n+1-k), where k=floor((n+1)/2) and t = A023531.A024307
a(n) = 2*t(n) + 3*t(n-1) + ... + (k+1)*t(n+1-k), where k=floor((n+1)/2) and t = A023531.
a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k=[ (n+1)/2 ], s = (natural numbers >= 2), t = A023532.A024308
a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k=[ (n+1)/2 ], s = (natural numbers >= 2), t = A023532.
a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 2), t = (Fibonacci numbers).A024309
a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 2), t = (Fibonacci numbers).
a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 2), t = (Lucas numbers).A024310
a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 2), t = (Lucas numbers).