OFFSET
1,1
COMMENTS
From Omar E. Pol, Dec 06 2021: (Start)
Antidiagonal sums of A272214.
a(n) is also the volume of a tower or polycube in which the successive terraces are the symmetric representation of sigma(k), k = 1..n starting from the top, and the successive heights of the terraces are the prime numbers starting from the base. (End)
LINKS
Robert Israel, Table of n, a(n) for n = 1..10000
MAPLE
N:= 100: # to get a(1)..a(N)
P:= [seq(ithprime(i), i=1..N+1)]:
S:= [seq(numtheory:-sigma(i), i=1..N+1)]:
seq(add(P[i]*S[n-i], i=1..n-1), n=2..N+1); # Robert Israel, Sep 09 2020
PROG
(PARI) p=primes(30); s=vector(30, i, sigma(i)); conv(u, v)=local(w); w=vector(length(u), i, sum(j=1, i, u[j]*v[i+1-j])); w;
conv(p, s)
CROSSREFS
KEYWORD
nonn
AUTHOR
Jon Perry, Jul 29 2003
EXTENSIONS
More terms from Robert Israel, Sep 09 2020
STATUS
approved