-83

Appears in sequences

• Expansion of e.g.f: (1+x)*cos(x).at n=83A009001
• E.g.f. sin(sin(x)*exp(x)).at n=5A009483
• Expansion of e.g.f. sin(sinh(x)*exp(x)).at n=5A009496
• sec(cos(x)*sin(x))=1+1/2!*x^2-11/4!*x^4-83/6!*x^6+10505/8!*x^8...at n=3A012478
• Expansion of e.g.f.: exp(exp(x)-sec(x))=1+x+1/2!*x^2+2/3!*x^3+1/4!*x^4-8/5!*x^5...at n=6A013327
• Expansion of square root of q times normalized Hauptmodul for Gamma(4) in powers of q^8.at n=58A029838
• Discriminants of quadratic number fields Q(sqrt -n) for n squarefree.at n=51A033197
• Exponential reversion of divisor function A000005.at n=3A050390
• Start with 0, run through primes >=5, adding if -1 mod 6, subtracting if +1 mod 6.at n=47A051356
• Coefficients of the '10th-order' mock theta function X(q).at n=61A053283
• Coefficients of the '10th-order' mock theta function X(q).at n=63A053283
• Generalized sum of divisors function: second diagonal of A060184.at n=56A060185
• a(n) = mu(n)*prime(n).at n=22A062007
• a(n+1) = a(n) - a(floor(n/2)), with a(0)=0, a(1)=1.at n=35A062187
• a(n) = + 1 - 2 - 3 + 4 + 5 + 6 - 7 - 8 - 9 - 10 + 11 + 12 + 13 + 14 + 15 - ... + (+-1)*n, where there is one plus, two minuses, three pluses, etc. (see A002024).at n=33A064520
• Little Hankel transform of A002487.at n=58A070949
• Little Hankel transform of A002487.at n=34A070949
• Signed primes: if prime(n) even, a(n) = 0; if prime(n) == 1 (mod 4), a(n) = prime(n); if prime(n) == -1 (mod 4), a(n) = -prime(n).at n=22A073579
• Inverted (definition in A075193) generalized tribonacci numbers A001644.at n=13A075298
• a(n) = A077118(n) - n^3.at n=27A077119