OFFSET
0,3
COMMENTS
Antidiagonal sums of square array, in which row m equals the m-fold convolution of primes with themselves.
FORMULA
Recurrence: a(n+1) = Sum_{k=1..n} prime(k)*a(n-k).
MATHEMATICA
nmax = 34; CoefficientList[Series[1/(1 - x Sum[Prime[k] x^k, {k, 1, nmax}]), {x, 0, nmax}], x]
a[0] = 1; a[n_] := a[n] = Sum[Prime[k] a[n - k - 1], {k, 1, n - 1}]; Table[a[n], {n, 0, 34}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, May 04 2019
STATUS
approved