Sequences

Triangle whose (i,j)-th entry is binomial(i,j)*10^(i-j)*9^j.

Triangle whose (i,j)-th entry is binomial(i,j)*10^(i-j)*10^j.

Triangle whose (i,j)-th entry is binomial(i,j)*10^(i-j)*11^j.

Triangle whose (i,j)-th entry is binomial(i,j)*10^(i-j)*12^j.

Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*1^j.

Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*2^j.

Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*3^j.

Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*4^j.

Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*5^j.

Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*6^j.

Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*7^j.

Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*8^j.

Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*9^j.

Triangle read by rows whose (i,j)-th entry is binomial(i,j)*11^(i-j)*10^j.

Triangle read by rows whose (i,j)-th entry is binomial(i,j)*11^(i-j)*11^j.

Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*12^j.

Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*1^j.

Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*2^j.

Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*3^j.

Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*4^j.

Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*5^j.

Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*6^j.

Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*7^j.

Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*8^j.

Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*9^j.

Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*10^j.

Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*11^j.

Triangle whose (i,j)-th entry is binomial(i,j)*12^(i-j)*12^j.

Bottom line of 5-wave sequence A038201, also bisection of A006358.

Second line of 5-wave sequence A038201.

Fourth line of 5-wave sequence A038201.

G.f.: 1/(1 - 3 x - 3 x^2 + 4 x^3 + x^4 - x^5).

Maximal value of difference between successive primes among the first 10^n primes.

Numbers k such that phi(k) + sigma(k) is a prime.

Sum of the next n members of the list of twin primes.

Sum of first n primes of form 4k+1.

Sum of first n primes of form 4k-1.

Expansion of (1/(1-x^2))*Product_{m>=0} 1/(1-x^(2m+1)).

Partial sums of primes congruent to 1 mod 6.

Numbers whose base-6 representation has the same nonzero number of 1's and 4's.

Numbers whose base-6 representation has the same nonzero number of 1's and 5's.

Numbers whose base-6 representation has the same nonzero number of 2's and 3's.

Numbers whose base-6 representation has the same nonzero number of 2's and 4's.

Numbers whose base-6 representation has the same nonzero number of 2's and 5's.

Numbers whose base-6 representation has the same nonzero number of 3's and 4's.

Numbers whose base-6 representation has the same nonzero number of 3's and 5's.

Ranks of certain relations among Euler sums of weight n.

Ranks of certain relations among Euler sums of weight n.

Ranks of certain relations among Euler sums of weight n.

Ranks of certain relations among Euler sums of weight n.