Sequences

392,541 sequences

a(n) = floor( n*(n-1)*(n-2)/29 ).A011911
a(n) = floor( n*(n-1)*(n-2)/29 ).
a(n) = floor(n*(n-1)*(n-2)/30).A011912
a(n) = floor(n*(n-1)*(n-2)/30).
a(n) = floor(n*(n - 1)*(n - 2)/31).A011913
a(n) = floor(n*(n - 1)*(n - 2)/31).
a(n) = floor(n*(n - 1)*(n - 2)/32).A011914
a(n) = floor(n*(n - 1)*(n - 2)/32).
a(n) = floor(n*(n-1)*(n-2)*(n-3)/5).A011915
a(n) = floor(n*(n-1)*(n-2)*(n-3)/5).
a(n) = ((b(n)-1)+sqrt(3*b(n)^2-4*b(n)+1))/2, where b(n) is A011922(n).A011916
a(n) = ((b(n)-1)+sqrt(3*b(n)^2-4*b(n)+1))/2, where b(n) is A011922(n).
[ n(n-1)(n-2)(n-3)/7 ].A011917
[ n(n-1)(n-2)(n-3)/7 ].
a(n) = A011916(n) + A011922(n) - 1.A011918
a(n) = A011916(n) + A011922(n) - 1.
a(n) = floor(n*(n-1)*(n-2)*(n-3)/9).A011919
a(n) = floor(n*(n-1)*(n-2)*(n-3)/9).
a(n) = b(n)*(b(n)+1) = b(n) + ... + c(n), where b(n) = A011916(n), c(n) = A011918(n).A011920
a(n) = b(n)*(b(n)+1) = b(n) + ... + c(n), where b(n) = A011916(n), c(n) = A011918(n).
[ n(n-1)(n-2)(n-3)/11 ].A011921
[ n(n-1)(n-2)(n-3)/11 ].
a(n) = 15*a(n-1) - 15*a(n-2) + a(n-3) with a(0)=1, a(1)=3, and a(2)=33.A011922
a(n) = 15*a(n-1) - 15*a(n-2) + a(n-3) with a(0)=1, a(1)=3, and a(2)=33.
[ n(n-1)(n-2)(n-3)/13 ].A011923
[ n(n-1)(n-2)(n-3)/13 ].
Floor[n(n-1)(n-2)(n-3)/14].A011924
Floor[n(n-1)(n-2)(n-3)/14].
a(n) = floor(n*(n-1)*(n-2)*(n-3)/15).A011925
a(n) = floor(n*(n-1)*(n-2)*(n-3)/15).
a(n) = floor(n*(n-1)*(n-2)*(n-3)/16).A011926
a(n) = floor(n*(n-1)*(n-2)*(n-3)/16).
[ n(n-1)(n-2)(n-3)/17 ].A011927
[ n(n-1)(n-2)(n-3)/17 ].
a(n) = floor(n(n-1)(n-2)(n-3)/18).A011928
a(n) = floor(n(n-1)(n-2)(n-3)/18).
a(n) = floor(n(n-1)(n-2)(n-3)/19).A011929
a(n) = floor(n(n-1)(n-2)(n-3)/19).
a(n) = floor(n(n-1)(n-2)(n-3)/20).A011930
a(n) = floor(n(n-1)(n-2)(n-3)/20).
a(n) = floor(n*(n-1)*(n-2)*(n-3)/21).A011931
a(n) = floor(n*(n-1)*(n-2)*(n-3)/21).
a(n) = floor( n*(n-1)*(n-2)*(n-3)/22 ).A011932
a(n) = floor( n*(n-1)*(n-2)*(n-3)/22 ).
a(n) = floor( n*(n-1)*(n-2)*(n-3)/23 ).A011933
a(n) = floor( n*(n-1)*(n-2)*(n-3)/23 ).
a(n) = |1^3 - 2^3 + 3^3 - 4^3 + ... + (-1)^(n+1)*n^3|.A011934
a(n) = |1^3 - 2^3 + 3^3 - 4^3 + ... + (-1)^(n+1)*n^3|.
a(n) = floor( n*(n-1)*(n-2)*(n-3)/25 ).A011935
a(n) = floor( n*(n-1)*(n-2)*(n-3)/25 ).
a(n) = floor( n*(n-1)*(n-2)*(n-3)/26 ).A011936
a(n) = floor( n*(n-1)*(n-2)*(n-3)/26 ).
a(n) = floor( n*(n-1)*(n-2)*(n-3)/27 ).A011937
a(n) = floor( n*(n-1)*(n-2)*(n-3)/27 ).
a(n) = floor( n*(n-1)*(n-2)*(n-3)/28 ).A011938
a(n) = floor( n*(n-1)*(n-2)*(n-3)/28 ).
a(n) = floor( n*(n-1)*(n-2)*(n-3)/29 ).A011939
a(n) = floor( n*(n-1)*(n-2)*(n-3)/29 ).
a(n) = floor(n*(n-1)*(n-2)*(n-3)/30).A011940
a(n) = floor(n*(n-1)*(n-2)*(n-3)/30).
a(n) = floor(n*(n-1)*(n-2)*(n-3)/31).A011941
a(n) = floor(n*(n-1)*(n-2)*(n-3)/31).
a(n) = floor( n*(n-1)*(n-2)*(n-3)/32 ).A011942
a(n) = floor( n*(n-1)*(n-2)*(n-3)/32 ).
Numbers k such that any group of k consecutive integers has integral standard deviation (viz. A011944(k)).A011943
Numbers k such that any group of k consecutive integers has integral standard deviation (viz. A011944(k)).
a(n) = 14*a(n-1) - a(n-2) with a(0) = 0, a(1) = 2.A011944
a(n) = 14*a(n-1) - a(n-2) with a(0) = 0, a(1) = 2.
Areas of almost-equilateral Heronian triangles (integral side lengths m-1, m, m+1 and integral area).A011945
Areas of almost-equilateral Heronian triangles (integral side lengths m-1, m, m+1 and integral area).
Number of Barlow packings with group P63/mmc(S) that repeat after 4n layers.A011946
Number of Barlow packings with group P63/mmc(S) that repeat after 4n layers.
Number of Barlow packings with group P63/mmc(O) that repeat after 4n+2 layers.A011947
Number of Barlow packings with group P63/mmc(O) that repeat after 4n+2 layers.
Number of Barlow packings with group P63mc that repeat after 2n layers.A011948
Number of Barlow packings with group P63mc that repeat after 2n layers.
Number of Barlow packings with group P6(bar)m2 that repeat after 2n layers.A011949
Number of Barlow packings with group P6(bar)m2 that repeat after 2n layers.
Number of Barlow packings with group P3(bar)m1(SO) that repeat after 2n-1 layers.A011950
Number of Barlow packings with group P3(bar)m1(SO) that repeat after 2n-1 layers.
Number of Barlow packings with group P3(bar)m1(S) that repeat after 2n layers.A011951
Number of Barlow packings with group P3(bar)m1(S) that repeat after 2n layers.
Number of Barlow packings with group P3(bar)m1(O) that repeat after 2n layers.A011952
Number of Barlow packings with group P3(bar)m1(O) that repeat after 2n layers.
Number of Barlow packings with group P3m1 that repeat after n layers.A011953
Number of Barlow packings with group P3m1 that repeat after n layers.
Barlow packings with group R3(bar)m(SO) that repeat after 6n+3 layers.A011954
Barlow packings with group R3(bar)m(SO) that repeat after 6n+3 layers.
Number of Barlow packings with group R3(bar)m(O) that repeat after 6n layers.A011955
Number of Barlow packings with group R3(bar)m(O) that repeat after 6n layers.
Number of close-packings with layer-number 3n and space group R3m.A011956
Number of close-packings with layer-number 3n and space group R3m.
Number of ZnS polytypes that repeat after n layers.A011957
Number of ZnS polytypes that repeat after n layers.
Number of CdI_2 polytypes that repeat after 2n layers.A011958
Number of CdI_2 polytypes that repeat after 2n layers.
Number of SiC polytypes that repeat after 2n layers.A011959
Number of SiC polytypes that repeat after 2n layers.
Number of ferrites M_2Y_n that repeat after 6n+10 layers.A011960
Number of ferrites M_2Y_n that repeat after 6n+10 layers.