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A285042 Number of primitive (period n) periodic palindromic structures of length n using an infinite alphabet. 4
1, 1, 1, 1, 3, 4, 10, 14, 36, 50, 138, 202, 562, 876, 2589, 4134, 12828, 21146, 69115, 115974, 398619, 678554, 2450202, 4213596, 15939338, 27644432, 109304036, 190899270, 787013630, 1382958544, 5931819804, 10480142146, 46673246440, 82864869600, 382473261356 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

See A285037 for additional information. Permuting the symbols will not change the structure.

LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..500

FORMULA

a(n) = Sum_{d | n} mu(n/d) * A285013(d) for n > 0.

PROG

(PARI) \\ Requires T from A285037.

seq(n)={my(A=T(n)); concat([1], vector(n, i, vecsum(A[i, ])))} \\ Andrew Howroyd, Oct 02 2019

CROSSREFS

Row sums of A285037.

Cf. A285013.

Sequence in context: A056515 A056516 A056517 * A319719 A048155 A242342

Adjacent sequences:  A285039 A285040 A285041 * A285043 A285044 A285045

KEYWORD

nonn

AUTHOR

Andrew Howroyd, Apr 08 2017

EXTENSIONS

a(0)=1 prepended and terms a(28) and beyond from Andrew Howroyd, Oct 02 2019

STATUS

approved

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Last modified January 20 08:18 EST 2020. Contains 331081 sequences. (Running on oeis4.)