A381751
Expansion of exp( Sum_{k>=1} binomial(8*k-1,2*k-1) * x^k/k ).
Original entry on oeis.org
1, 7, 252, 12866, 767460, 50005591, 3449225652, 247579862356, 18301102679444, 1383742325041292, 106516121515030768, 8319491960857739258, 657680525420544788060, 52522142073165048614002, 4230907373618147894630904, 343379827862952363210331624, 28051180121294369965012932980
Offset: 0
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my(N=20, x='x+O('x^N)); Vec(exp(sum(k=1, N, binomial(8*k-1, 2*k-1)*x^k/k)))
A381746
Expansion of exp( Sum_{k>=1} binomial(10*k-1,2*k) * x^k/k ).
Original entry on oeis.org
1, 36, 2586, 235884, 24284907, 2689924444, 312907382800, 37699275223260, 4663450108073401, 588854988193808392, 75589352418472567340, 9834912295258236849604, 1294095251234713917535805, 171909332777340128148714400, 23024035140764003881788203616
Offset: 0
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my(N=20, x='x+O('x^N)); Vec(exp(sum(k=1, N, binomial(10*k-1, 2*k)*x^k/k)))
A381753
Expansion of exp( Sum_{k>=1} binomial(5*k-1,2*k-1) * x^k/k ).
Original entry on oeis.org
1, 4, 50, 846, 16495, 349240, 7803823, 181135830, 4324897697, 105543188190, 2620784850325, 66005699547352, 1682046970846570, 43291586055360034, 1123707191010320955, 29382536610737191930, 773229801368332554273, 20463493681189771623960
Offset: 0
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my(N=20, x='x+O('x^N)); Vec(exp(sum(k=1, N, binomial(5*k-1, 2*k-1)*x^k/k)))
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a(n) = 2*sum(k=0, n, binomial(5*n+2*k+2, k)*binomial(5*n+2, n-k)/(5*n+2*k+2));
A381757
Expansion of exp( Sum_{k>=1} binomial(7*k-1,2*k-1) * x^k/k ).
Original entry on oeis.org
1, 6, 161, 6062, 265868, 12720904, 643915209, 33905228350, 1838102210977, 101910583801012, 5751779249830131, 329359930638541776, 19087504000780665541, 1117418973753045781944, 65982722733895652916539, 3925378032146863676341770, 235048328495265879957413946
Offset: 0
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my(N=20, x='x+O('x^N)); Vec(exp(sum(k=1, N, binomial(7*k-1, 2*k-1)*x^k/k)))
A381758
Expansion of exp( Sum_{k>=1} binomial(9*k-1,2*k-1) * x^k/k ).
Original entry on oeis.org
1, 8, 372, 24732, 1925394, 163883548, 14773987638, 1386341339430, 133994232166575, 13248555929274096, 1333732204895318366, 136243562694021684648, 14087033746990654649067, 1471456489458490198994856, 155042502964505871862313879, 16459391575059417875255359878
Offset: 0
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my(N=20, x='x+O('x^N)); Vec(exp(sum(k=1, N, binomial(9*k-1, 2*k-1)*x^k/k)))
Showing 1-5 of 5 results.