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A327874 Number of length n primitive (aperiodic) palindromes with integer entries that cover an initial interval of positive integers. 3
1, 1, 0, 2, 2, 12, 10, 74, 72, 538, 528, 4682, 4668, 47292, 47218, 545820, 545760, 7087260, 7086710, 102247562, 102247020, 1622632496, 1622627890, 28091567594, 28091562840, 526858348368, 526858301088, 10641342969902, 10641342923148, 230283190977852, 230283190431480 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..200

FORMULA

a(n) = Sum_{d|n} mu(n/d)*A000670(ceiling(d/2)) for n > 0.

PROG

(PARI) a(n) = {if(n<1, n==0, sumdiv(n, d, moebius(n/d)*sum(k=1, ceil(d/2), k!*stirling(ceil(d/2), k, 2))))}

CROSSREFS

Row sums of A327873.

Cf. A000670, A327879.

Sequence in context: A279504 A279994 A307659 * A190295 A228154 A275279

Adjacent sequences:  A327871 A327872 A327873 * A327875 A327876 A327877

KEYWORD

nonn

AUTHOR

Andrew Howroyd, Sep 28 2019

STATUS

approved

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Last modified December 10 00:54 EST 2019. Contains 329885 sequences. (Running on oeis4.)