Sequences

392,541 sequences

Theta series of direct sum of 5 copies of D_4 lattice.A008661
Theta series of direct sum of 5 copies of D_4 lattice.
Theta series of direct sum of 6 copies of D_4 lattice.A008662
Theta series of direct sum of 6 copies of D_4 lattice.
Theta series of direct sum of 2 copies of f.c.c. lattice.A008663
Theta series of direct sum of 2 copies of f.c.c. lattice.
Theta series of direct sum of f.c.c. and b.c.c. lattices.A008664
Theta series of direct sum of f.c.c. and b.c.c. lattices.
Theta series of direct sum of 2 copies of b.c.c. lattice.A008665
Theta series of direct sum of 2 copies of b.c.c. lattice.
Expansion of g.f.: 1/((1-x^2)*(1-x^3)*(1-x^5)*(1-x^6)*(1-x^9)).A008666
Expansion of g.f.: 1/((1-x^2)*(1-x^3)*(1-x^5)*(1-x^6)*(1-x^9)).
Expansion of g.f.: 1/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)).A008667
Expansion of g.f.: 1/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)).
Molien series for 4-dimensional reflection group [3,3,5] of order 14400.A008668
Molien series for 4-dimensional reflection group [3,3,5] of order 14400.
Molien series for 4-dimensional complex reflection group of order 7680 (in powers of x^4).A008669
Molien series for 4-dimensional complex reflection group of order 7680 (in powers of x^4).
Molien series for Weyl group F_4.A008670
Molien series for Weyl group F_4.
Expansion of 1/((1-x^2)*(1-x^3)*(1-x^7)).A008671
Expansion of 1/((1-x^2)*(1-x^3)*(1-x^7)).
Expansion of 1/((1-x)*(1-x^3)*(1-x^5)).A008672
Expansion of 1/((1-x)*(1-x^3)*(1-x^5)).
Expansion of 1/((1-x)*(1-x^3)*(1-x^5)*(1-x^7)).A008673
Expansion of 1/((1-x)*(1-x^3)*(1-x^5)*(1-x^7)).
Expansion of 1/((1-x)*(1-x^3)*(1-x^5)*(1-x^7)*(1-x^9)).A008674
Expansion of 1/((1-x)*(1-x^3)*(1-x^5)*(1-x^7)*(1-x^9)).
Expansion of 1/( Product_{j=0..5} (1-x^(2*j+1)) ).A008675
Expansion of 1/( Product_{j=0..5} (1-x^(2*j+1)) ).
Expansion of 1/((1-x^3)*(1-x^5)).A008676
Expansion of 1/((1-x^3)*(1-x^5)).
Expansion of 1/((1-x^3)*(1-x^5)*(1-x^7)).A008677
Expansion of 1/((1-x^3)*(1-x^5)*(1-x^7)).
Expansion of 1/((1-x^3)*(1-x^5)*(1-x^7)*(1-x^9)).A008678
Expansion of 1/((1-x^3)*(1-x^5)*(1-x^7)*(1-x^9)).
Expansion of 1/((1-x^3)*(1-x^4)).A008679
Expansion of 1/((1-x^3)*(1-x^4)).
Expansion of 1/((1-x^3)*(1-x^4)*(1-x^5)).A008680
Expansion of 1/((1-x^3)*(1-x^4)*(1-x^5)).
Expansion of 1/((1-x^3)*(1-x^4)*(1-x^5)*(1-x^6)).A008681
Expansion of 1/((1-x^3)*(1-x^4)*(1-x^5)*(1-x^6)).
Expansion of 1/((1-x^4)*(1-x^5)*(1-x^6)).A008682
Expansion of 1/((1-x^4)*(1-x^5)*(1-x^6)).
Möbius (or Moebius) function mu(n). mu(1) = 1; mu(n) = (-1)^k if n is the product of k different primes; otherwise mu(n) = 0.A008683
Möbius (or Moebius) function mu(n). mu(1) = 1; mu(n) = (-1)^k if n is the product of k different primes; otherwise mu(n) = 0.
Dates of successive days in Gregorian calendar.A008684
Dates of successive days in Gregorian calendar.
Lengths of months in the Gregorian calendar.A008685
Lengths of months in the Gregorian calendar.
Day-of-month at weekly intervals from Jan 01 of a non-leap year (a finite sequence with 53 terms).A008686
Day-of-month at weekly intervals from Jan 01 of a non-leap year (a finite sequence with 53 terms).
Number of 1's in 2's complement representation of -n.A008687
Number of 1's in 2's complement representation of -n.
Theta series of Niemeier lattice of type D_24.A008688
Theta series of Niemeier lattice of type D_24.
Theta series of Niemeier lattice of type A_24.A008689
Theta series of Niemeier lattice of type A_24.
Theta series of Niemeier lattice of type D_12^2.A008690
Theta series of Niemeier lattice of type D_12^2.
Theta series of Niemeier lattice of type A_17 E_7.A008691
Theta series of Niemeier lattice of type A_17 E_7.
Theta series of Niemeier lattice of type A_15 D_9.A008692
Theta series of Niemeier lattice of type A_15 D_9.
Theta series of Niemeier lattice of type D_8^3.A008693
Theta series of Niemeier lattice of type D_8^3.
Theta series of Niemeier lattice of type A_12^2.A008694
Theta series of Niemeier lattice of type A_12^2.
Theta series of Niemeier lattice of type A_11 D_7 E_6.A008695
Theta series of Niemeier lattice of type A_11 D_7 E_6.
Theta series of Niemeier lattice of type D_6^4.A008696
Theta series of Niemeier lattice of type D_6^4.
Theta series of Niemeier lattice of type A_8^3.A008697
Theta series of Niemeier lattice of type A_8^3.
Theta series of Niemeier lattice of type A_7^2 D_5^2.A008698
Theta series of Niemeier lattice of type A_7^2 D_5^2.
Theta series of Niemeier lattice of type A_6^4.A008699
Theta series of Niemeier lattice of type A_6^4.
Theta series of Niemeier lattice of type D_4^6.A008700
Theta series of Niemeier lattice of type D_4^6.
Theta series of Niemeier lattice of type A_4^6.A008701
Theta series of Niemeier lattice of type A_4^6.
Theta series of Niemeier lattice of type A_3^8.A008702
Theta series of Niemeier lattice of type A_3^8.
Theta series of Niemeier lattice of type A_2^12.A008703
Theta series of Niemeier lattice of type A_2^12.
Theta series of Niemeier lattice of type A_1^24.A008704
Theta series of Niemeier lattice of type A_1^24.
Coefficient of x^n in (Product_{m=1..n}(1-x^m))^n.A008705
Coefficient of x^n in (Product_{m=1..n}(1-x^m))^n.
Coordination sequence for 3.3.3.4.4 planar net.A008706
Coordination sequence for 3.3.3.4.4 planar net.
a(n) = 10 in base 10-n.A008707
a(n) = 10 in base 10-n.
11 in base 11-n.A008708
11 in base 11-n.
12 in base 12-n.A008709
12 in base 12-n.
13 in base 13-n.A008710
13 in base 13-n.