A346941
E.g.f.: Product_{k>=1} 1 / (1 - x^k)^cos(x).
Original entry on oeis.org
1, 1, 4, 15, 90, 555, 4815, 41034, 443268, 4977381, 64274655, 857332366, 13328296014, 207666642131, 3620701556017, 65845797790798, 1294049887432888, 26168756518235801, 576107273399556987, 12940593913711504118, 311924384689270232770, 7752903433736003497447, 203126367130952306670541
Offset: 0
-
N=40; x='x+O('x^N); Vec(serlaplace(1/prod(k=1, N, (1-x^k)^cos(x))))
-
N=40; x='x+O('x^N); Vec(serlaplace(exp(cos(x)*sum(k=1, N, sigma(k)*x^k/k))))
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N=40; x='x+O('x^N); Vec(serlaplace(exp(cos(x)*sum(k=1, N, x^k/(k*(1-x^k))))))
A347774
E.g.f.: Product_{k>=1} 1 / (1 - x^k)^tan(x).
Original entry on oeis.org
1, 0, 2, 9, 52, 450, 3410, 41748, 415952, 5985144, 79468648, 1263309960, 20581146056, 375092849040, 7053697259856, 144054799315560, 3108398855786496, 70281839877041088, 1687564595412611520, 42264952015652902656, 1114043035100431983744, 30552235678578565203840
Offset: 0
-
N=40; x='x+O('x^N); Vec(serlaplace(1/prod(k=1, N, (1-x^k)^tan(x))))
-
N=40; x='x+O('x^N); Vec(serlaplace(exp(tan(x)*sum(k=1, N, sigma(k)*x^k/k))))
-
N=40; x='x+O('x^N); Vec(serlaplace(exp(tan(x)*sum(k=1, N, x^k/(k*(1-x^k))))))
A347817
E.g.f.: Product_{k>=1} (1 + x^k)^sin(x).
Original entry on oeis.org
1, 0, 2, 3, 40, 80, 1760, 8211, 139256, 763272, 19466578, 147696835, 3372858476, 33370016316, 872184749046, 10340382875655, 289042962136272, 3884706041971728, 118640349946950738, 1911641854423398435, 59577007012206421356, 1086774235381609797540, 37138839666110194130670
Offset: 0
-
N=40; x='x+O('x^N); Vec(serlaplace(prod(k=1, N, (1+x^k)^sin(x))))
-
N=40; x='x+O('x^N); Vec(serlaplace(exp(sin(x)*sum(k=1, N, sigma(k>>valuation(k, 2))*x^k/k))))
A347895
E.g.f.: Product_{k>=1} 1 / (1 - x^k)^(sin(x)/k).
Original entry on oeis.org
1, 0, 2, 6, 24, 190, 1054, 10752, 81512, 964836, 10271986, 128768090, 1692130756, 25920268218, 373473594246, 6417995468640, 113429495582192, 2067370129203944, 40640473402056690, 853163776496470734, 18080227324013473596, 417591451359251698830, 9865838382742988603390
Offset: 0
-
N=40; x='x+O('x^N); Vec(serlaplace(1/prod(k=1, N, (1-x^k)^(sin(x)/k))))
-
N=40; x='x+O('x^N); Vec(serlaplace(exp(sin(x)*sum(k=1, N, numdiv(k)*x^k/k))))
Showing 1-4 of 4 results.