Sequences
392,541 sequences
- a(n) = ceiling(n*phi^5), where phi is the golden ratio, A001622.A004960
a(n) = ceiling(n*phi^5), where phi is the golden ratio, A001622.
- a(n) = ceiling(n*phi^6), where phi is the golden ratio.A004961
a(n) = ceiling(n*phi^6), where phi is the golden ratio.
- a(n) = ceiling(n*phi^7), where phi is the golden ratio, A001622.A004962
a(n) = ceiling(n*phi^7), where phi is the golden ratio, A001622.
- a(n) = ceiling(n*phi^8), where phi is the golden ratio, A001622.A004963
a(n) = ceiling(n*phi^8), where phi is the golden ratio, A001622.
- a(n) = ceiling(n*phi^9), where phi is the golden ratio, A001622.A004964
a(n) = ceiling(n*phi^9), where phi is the golden ratio, A001622.
- a(n) = ceiling(n*phi^10), where phi is the golden ratio, A001622.A004965
a(n) = ceiling(n*phi^10), where phi is the golden ratio, A001622.
- a(n) = ceiling(n*phi^11), where phi is the golden ratio, A001622.A004966
a(n) = ceiling(n*phi^11), where phi is the golden ratio, A001622.
- a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.A004967
a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.
- a(n) = ceiling(n*phi^13), where phi is the golden ratio, A001622.A004968
a(n) = ceiling(n*phi^13), where phi is the golden ratio, A001622.
- a(n) = ceiling(n*phi^14), where phi is the golden ratio, A001622.A004969
a(n) = ceiling(n*phi^14), where phi is the golden ratio, A001622.
- a(n) = ceiling(n*phi^15), where phi is the golden ratio, A001622.A004970
a(n) = ceiling(n*phi^15), where phi is the golden ratio, A001622.
- a(n) = ceiling(n*phi^16), where phi is the golden ratio, A001622.A004971
a(n) = ceiling(n*phi^16), where phi is the golden ratio, A001622.
- a(n) = ceiling(n*phi^17), where phi is the golden ratio, A001622.A004972
a(n) = ceiling(n*phi^17), where phi is the golden ratio, A001622.
- a(n) = ceiling(n*phi^18), where phi is the golden ratio, A001622.A004973
a(n) = ceiling(n*phi^18), where phi is the golden ratio, A001622.
- a(n) = ceiling(n*phi^19), where phi is the golden ratio, A001622.A004974
a(n) = ceiling(n*phi^19), where phi is the golden ratio, A001622.
- a(n) = ceiling(n*phi^20), where phi is the golden ratio, A001622.A004975
a(n) = ceiling(n*phi^20), where phi is the golden ratio, A001622.
- a(n) = floor(n*phi^3), where phi=(1+sqrt(5))/2.A004976
a(n) = floor(n*phi^3), where phi=(1+sqrt(5))/2.
- Sum of digits of n-th term in Look and Say sequence A005150.A004977
Sum of digits of n-th term in Look and Say sequence A005150.
- a(n) = least integer m > a(n-1) such that m - a(n-1) != a(j) - a(k) for all j, k less than n; a(1) = 1, a(2) = 2.A004978
a(n) = least integer m > a(n-1) such that m - a(n-1) != a(j) - a(k) for all j, k less than n; a(1) = 1, a(2) = 2.
- a(n)=least number m such that m-a(n-1)<>a(j)-a(k) for all j,k less than m; a(1)=1, a(2)=3.A004979
a(n)=least number m such that m-a(n-1)<>a(j)-a(k) for all j,k less than m; a(1)=1, a(2)=3.
- Numbers k such that if 1 <= j < k then the fractional part of the k-th partial sum of the harmonic series > the fractional part of the j-th partial sum of the harmonic series.A004980
Numbers k such that if 1 <= j < k then the fractional part of the k-th partial sum of the harmonic series > the fractional part of the j-th partial sum of the harmonic series.
- a(n) = (2^n/n!) * Product_{k=0..n-1} (4*k + 1).A004981
a(n) = (2^n/n!) * Product_{k=0..n-1} (4*k + 1).
- a(n) = (2^n/n!) * Product_{k=0..n-1} (4*k + 3).A004982
a(n) = (2^n/n!) * Product_{k=0..n-1} (4*k + 3).
- a(n) = (2^n/n!) * Product_{k=0..n-1} (4*k - 3).A004983
a(n) = (2^n/n!) * Product_{k=0..n-1} (4*k - 3).
- a(n) = (2^n/n!)*Product_{k=0..n-1} (4*k - 1).A004984
a(n) = (2^n/n!)*Product_{k=0..n-1} (4*k - 1).
- a(n) = (2^n/n!)*Product_{k=0..n-1} (4*k + 5).A004985
a(n) = (2^n/n!)*Product_{k=0..n-1} (4*k + 5).
- a(n) = (2^n/n!) * Product_{k=0..n-1} (4*k + 7).A004986
a(n) = (2^n/n!) * Product_{k=0..n-1} (4*k + 7).
- a(n) = (3^n/n!)*Product_{k=0..n-1} (3*k + 1). 3-central binomial coefficients.A004987
a(n) = (3^n/n!)*Product_{k=0..n-1} (3*k + 1). 3-central binomial coefficients.
- a(n) = (3^n/n!) * Product_{k=0..n-1} (3*k + 2).A004988
a(n) = (3^n/n!) * Product_{k=0..n-1} (3*k + 2).
- a(n) = (3^n/n!) * Product_{k=0..n-1} (3*k - 2).A004989
a(n) = (3^n/n!) * Product_{k=0..n-1} (3*k - 2).
- a(n) = (3^n/n!)*Product_{k=0..n-1} (3*k - 1).A004990
a(n) = (3^n/n!)*Product_{k=0..n-1} (3*k - 1).
- a(n) = (3^n/n!) * Product_{k=0..n-1} (3*k + 4).A004991
a(n) = (3^n/n!) * Product_{k=0..n-1} (3*k + 4).
- a(n) = (3^n/n!) * Product_{k=0..n-1} (3*k + 5).A004992
a(n) = (3^n/n!) * Product_{k=0..n-1} (3*k + 5).
- a(n) = (6^n/n!)*Product_{k=0..n-1} (6*k + 1).A004993
a(n) = (6^n/n!)*Product_{k=0..n-1} (6*k + 1).
- a(n) = (6^n/n!)*Product_{k=0..n-1} (6*k + 5).A004994
a(n) = (6^n/n!)*Product_{k=0..n-1} (6*k + 5).
- a(n) = (6^n/n!) * Product_{k=0..n-1} (6*k - 5).A004995
a(n) = (6^n/n!) * Product_{k=0..n-1} (6*k - 5).
- a(n) = 6^n/n! * Product_{k=0..n-1} (6*k - 1).A004996
a(n) = 6^n/n! * Product_{k=0..n-1} (6*k - 1).
- a(n) = (6^n/n!) * Product_{k=0..n-1} (6*k + 7).A004997
a(n) = (6^n/n!) * Product_{k=0..n-1} (6*k + 7).
- a(n) = (6^n/n!) * Product_{k=0..n-1} ( 6*k + 11 ).A004998
a(n) = (6^n/n!) * Product_{k=0..n-1} ( 6*k + 11 ).
- Sums of two nonnegative cubes.A004999
Sums of two nonnegative cubes.
- Erroneous version of A006505.A005000
Erroneous version of A006505.
- a(n) = Sum_{k=0..n-1} Bell(k), where the Bell numbers Bell(k) are given in A000110.A005001
a(n) = Sum_{k=0..n-1} Bell(k), where the Bell numbers Bell(k) are given in A000110.
- Number of rhyme schemes (see reference for precise definition).A005002
Number of rhyme schemes (see reference for precise definition).
- Number of rhyme schemes (see reference for precise definition).A005003
Number of rhyme schemes (see reference for precise definition).
- Davenport-Schinzel numbers of degree n on 3 symbols.A005004
Davenport-Schinzel numbers of degree n on 3 symbols.
- Davenport-Schinzel numbers of degree n on 4 symbols.A005005
Davenport-Schinzel numbers of degree n on 4 symbols.
- Davenport-Schinzel numbers of degree n on 5 symbols.A005006
Davenport-Schinzel numbers of degree n on 5 symbols.
- Number of cubic (i.e., regular of degree 3) generalized Moore graphs with 2n nodes.A005007
Number of cubic (i.e., regular of degree 3) generalized Moore graphs with 2n nodes.
- a(n) = n! - n^2.A005008
a(n) = n! - n^2.
- a(n) = 7*2^n.A005009
a(n) = 7*2^n.