Sequences

392,541 sequences

Number of ferrites M_4Y_n that repeat after 6n+20 layers.A011961
Number of ferrites M_4Y_n that repeat after 6n+20 layers.
Number of ferrites M_6Y_n that repeat after 6n+30 layers.A011962
Number of ferrites M_6Y_n that repeat after 6n+30 layers.
Number of ferrites M_8Y_n that repeat after 6n+40 layers.A011963
Number of ferrites M_8Y_n that repeat after 6n+40 layers.
Number of ferrites M_{10}Y_n that repeat after 6n+50 layers.A011964
Number of ferrites M_{10}Y_n that repeat after 6n+50 layers.
Second differences of Bell numbers.A011965
Second differences of Bell numbers.
Third differences of Bell numbers.A011966
Third differences of Bell numbers.
4th differences of Bell numbers.A011967
4th differences of Bell numbers.
Apply (1+Shift) to Bell numbers.A011968
Apply (1+Shift) to Bell numbers.
Apply (1+Shift)^2 to Bell numbers.A011969
Apply (1+Shift)^2 to Bell numbers.
Apply (1+Shift)^3 to Bell numbers.A011970
Apply (1+Shift)^3 to Bell numbers.
Aitken's array: triangle of numbers {a(n,k), n >= 0, 0 <= k <= n} read by rows, defined by a(0,0)=1, a(n,0) = a(n-1,n-1), a(n,k) = a(n,k-1) + a(n-1,k-1).A011971
Aitken's array: triangle of numbers {a(n,k), n >= 0, 0 <= k <= n} read by rows, defined by a(0,0)=1, a(n,0) = a(n-1,n-1), a(n,k) = a(n,k-1) + a(n-1,k-1).
Sequence formed by reading rows of triangle defined in A011971.A011972
Sequence formed by reading rows of triangle defined in A011971.
Irregular triangle read by rows: T(n,k) = binomial(n-k, k), n >= 0, 0 <= k <= floor(n/2); or, coefficients of (one version of) Fibonacci polynomials.A011973
Irregular triangle read by rows: T(n,k) = binomial(n-k, k), n >= 0, 0 <= k <= floor(n/2); or, coefficients of (one version of) Fibonacci polynomials.
2 followed by the numbers that are the sum of 2 successive primes.A011974
2 followed by the numbers that are the sum of 2 successive primes.
Covering numbers C(n,3,2).A011975
Covering numbers C(n,3,2).
Covering numbers C(n,4,2).A011976
Covering numbers C(n,4,2).
Covering numbers C(n,5,2).A011977
Covering numbers C(n,5,2).
Covering numbers C(n,6,2).A011978
Covering numbers C(n,6,2).
Covering numbers C(n,4,3) (next term is <= 261).A011979
Covering numbers C(n,4,3) (next term is <= 261).
Covering numbers C(n,5,3) (next term is <= 29).A011980
Covering numbers C(n,5,3) (next term is <= 29).
Covering numbers C(n,6,3) (next term is <= 21).A011981
Covering numbers C(n,6,3) (next term is <= 21).
Covering numbers C(n,7,3) (next term is <= 25).A011982
Covering numbers C(n,7,3) (next term is <= 25).
Covering numbers C(n,5,4).A011983
Covering numbers C(n,5,4).
Covering numbers C(n,6,4) (next term is <= 41).A011984
Covering numbers C(n,6,4) (next term is <= 41).
Covering numbers C(n,7,4) (next term is <= 24).A011985
Covering numbers C(n,7,4) (next term is <= 24).
Covering numbers C(n,7,4) (next term is <= 19).A011986
Covering numbers C(n,7,4) (next term is <= 19).
Covering numbers C(n,6,5) (next term is <= 100).A011987
Covering numbers C(n,6,5) (next term is <= 100).
Covering numbers C(n,7,5) (next term is <= 34).A011988
Covering numbers C(n,7,5) (next term is <= 34).
Covering numbers C(n,8,5) (next term is <= 43).A011989
Covering numbers C(n,8,5) (next term is <= 43).
Covering numbers C(n,9,5) (next term is <= 19).A011990
Covering numbers C(n,9,5) (next term is <= 19).
(n,3,1) difference families over Z_n.A011991
(n,3,1) difference families over Z_n.
(n,3,2) difference families over Z_n.A011992
(n,3,2) difference families over Z_n.
(2n+1,3,3) difference families over Z_{2n+1}.A011993
(2n+1,3,3) difference families over Z_{2n+1}.
(n,3,4) difference families over Z_n.A011994
(n,3,4) difference families over Z_n.
(n,3,5) difference families over Z_n.A011995
(n,3,5) difference families over Z_n.
(n,3,6) difference families over Z_n.A011996
(n,3,6) difference families over Z_n.
Number of (n,3,7) difference families over Z_n.A011997
Number of (n,3,7) difference families over Z_n.
(n,3,8) difference families over Z_n.A011998
(n,3,8) difference families over Z_n.
(2n+1,3,9) difference families over Z_{2n+1}.A011999
(2n+1,3,9) difference families over Z_{2n+1}.
Expansion of 1/sqrt(1 - 4*x + 16*x^2).A012000
Expansion of 1/sqrt(1 - 4*x + 16*x^2).
E.g.f.: -tan(log(cos(x))), even powers only.A012001
E.g.f.: -tan(log(cos(x))), even powers only.
arctan(log(cos(x)))=-1/2!*x^2-2/4!*x^4+14/6!*x^6+568/8!*x^8...A012002
arctan(log(cos(x)))=-1/2!*x^2-2/4!*x^4+14/6!*x^6+568/8!*x^8...
E.g.f. cos(log(cos(x))), even powers only.A012003
E.g.f. cos(log(cos(x))), even powers only.
arcsinh(log(cos(x)))=-1/2!*x^2-2/4!*x^4-1/6!*x^6+148/8!*x^8-61/10!*x^10...A012004
arcsinh(log(cos(x)))=-1/2!*x^2-2/4!*x^4-1/6!*x^6+148/8!*x^8-61/10!*x^10...
tanh(log(cos(x)))=-1/2!*x^2-2/4!*x^4+14/6!*x^6+568/8!*x^8...A012005
tanh(log(cos(x)))=-1/2!*x^2-2/4!*x^4+14/6!*x^6+568/8!*x^8...
-arctanh(log(cos(x))) = 1/2!*x^2+2/4!*x^4+46/6!*x^6+1112/8!*x^8...A012006
-arctanh(log(cos(x))) = 1/2!*x^2+2/4!*x^4+46/6!*x^6+1112/8!*x^8...
cosh(log(cos(x))) = 1+3/4!*x^4+30/6!*x^6+693/8!*x^8+25260/10!*x^10...A012007
cosh(log(cos(x))) = 1+3/4!*x^4+30/6!*x^6+693/8!*x^8+25260/10!*x^10...
sec(log(cos(x)))= 1+3/4!*x^4+30/6!*x^6+1113/8!*x^8+50460/10!*x^10...A012008
sec(log(cos(x)))= 1+3/4!*x^4+30/6!*x^6+1113/8!*x^8+50460/10!*x^10...
Expansion of e.g.f. sech(log(cos(x))) (even exponents only).A012009
Expansion of e.g.f. sech(log(cos(x))) (even exponents only).
arctan(sin(sin(x))) = x - 4/3!*x^3 + 76/5!*x^5 - 3592/7!*x^7 + 317968/9!*x^9 - ....A012010
arctan(sin(sin(x))) = x - 4/3!*x^3 + 76/5!*x^5 - 3592/7!*x^7 + 317968/9!*x^9 - ....