|
|
A286970
|
|
Number of compositions (ordered partitions) of n into decimal palindromic primes (A002385).
|
|
0
|
|
|
1, 0, 1, 1, 1, 3, 2, 6, 6, 10, 16, 20, 35, 45, 72, 103, 150, 228, 324, 491, 710, 1053, 1552, 2272, 3369, 4930, 7288, 10711, 15771, 23244, 34175, 50382, 74113, 109168, 160722, 236596, 348446, 512894, 755303, 1111946, 1637205, 2410592, 3549023, 5225659, 7693623, 11327912
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,6
|
|
LINKS
|
|
|
FORMULA
|
G.f.: 1/(1 - Sum_{k>=1} x^A002385(k)).
|
|
EXAMPLE
|
a(7) = 6 because we have [7], [5, 2], [3, 2, 2], [2, 5], [2, 3, 2] and [2, 2, 3].
|
|
MATHEMATICA
|
nmax = 45; CoefficientList[Series[1/(1 - Sum[Boole[PalindromeQ[k] && PrimeQ[k]] x^k, {k, 1, nmax}]), {x, 0, nmax}], x]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|