A275810 -id:A275810 - cp's OEIS frontend

A275808 a(0) = 0, for n >= 1, a(n) = A275736(n) XOR a(A257684(n)), where XOR is given by A003987.

0, 1, 2, 3, 1, 0, 4, 5, 6, 7, 5, 4, 2, 3, 0, 1, 3, 2, 1, 0, 3, 2, 0, 1, 8, 9, 10, 11, 9, 8, 12, 13, 14, 15, 13, 12, 10, 11, 8, 9, 11, 10, 9, 8, 11, 10, 8, 9, 4, 5, 6, 7, 5, 4, 0, 1, 2, 3, 1, 0, 6, 7, 4, 5, 7, 6, 5, 4, 7, 6, 4, 5, 2, 3, 0, 1, 3, 2, 6, 7, 4, 5, 7, 6, 0, 1, 2, 3, 1, 0, 3, 2, 1, 0, 2, 3, 1, 0, 3, 2, 0

Offset: 0

Antti Karttunen, Aug 09 2016

Antti Karttunen, Table of n, a(n) for n = 0..40320
Index entries for sequences related to factorial base representation

Cf. A003987, A248663, A257684, A275734, A275736.
Cf. A275809 (positions of zeros), A275810 (and their first differences).
Cf. also A275728.

a(0) = 0, for n >= 1, a(n) = A275736(n) XOR a(A257684(n)), where 2-argument function XOR is given by A003987.

a(n) = A248663(A275734(n)).

A275809 Indices of zeros in A275808.

Original entry on oeis.org

0, 5, 14, 19, 22, 54, 59, 74, 84, 89, 93, 97, 100, 111, 114, 119, 264, 269, 278, 283, 286, 366, 371, 408, 413, 422, 427, 430, 440, 463, 466, 482, 492, 497, 501, 536, 552, 557, 566, 571, 574, 579, 589, 592, 596, 601, 604, 615, 618, 623, 655, 658, 675, 685, 688, 692, 696, 701, 710, 715, 718, 1560, 1565, 1574, 1579, 1582, 1614, 1619, 1634, 1644

Offset: 0

Antti Karttunen, Aug 09 2016

Indexing begins from zero, because a(0) = 0 is a special case in this sequence.

Terms A009445(n)-1, [0, 5, 119, 5039, 362879, 39916799, ...] form a subsequence, and also the terms of A010050(n)-2, [0, 22, 718, 40318, 3628798, ...] form a subsequence.

Antti Karttunen, Table of n, a(n) for n = 0..1384
Index entries for sequences related to factorial base representation

Cf. A275736, A275808.
Cf. A275810 (first differences).
Subsequence of A275813 and of A275805 (after the initial 0).
Cf. also A009445, A010050.

cp's OEIS Frontend

A275808 a(0) = 0, for n >= 1, a(n) = A275736(n) XOR a(A257684(n)), where XOR is given by A003987.

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