A276091 -id:A276091 - cp's OEIS frontend

A276339 a(n) = A255411(n) - A276340(n).

0, 0, 4, 4, 0, 0, 22, 22, 24, 24, 22, 22, 18, 18, 22, 22, 18, 18, 0, 0, 4, 4, 0, 0, 118, 118, 120, 120, 118, 118, 138, 138, 142, 142, 138, 138, 120, 120, 124, 124, 120, 120, 118, 118, 120, 120, 118, 118, 114, 114, 118, 118, 114, 114, 120, 120, 124, 124, 120, 120, 118, 118, 120, 120, 118, 118, 114, 114, 118, 118, 114, 114, 96

Offset: 0

Antti Karttunen, Sep 01 2016

Antti Karttunen, Table of n, a(n) for n = 0..5039
Index entries for sequences related to factorial base representation

Cf. A001563, A255411, A276340.

Cf. A276091 (seems to give the indices of zeros, checked empirically for the first 512 zeros).

(define (A276339 n) (- (A255411 n) (A276340 n)))

a(n) = A255411(n) - A276340(n).

A283984 Sums of distinct nonzero terms of A007489: a(n) = Sum_{k>=0} A030308(n,k)*A007489(1+k).

Original entry on oeis.org

0, 1, 3, 4, 9, 10, 12, 13, 33, 34, 36, 37, 42, 43, 45, 46, 153, 154, 156, 157, 162, 163, 165, 166, 186, 187, 189, 190, 195, 196, 198, 199, 873, 874, 876, 877, 882, 883, 885, 886, 906, 907, 909, 910, 915, 916, 918, 919, 1026, 1027, 1029, 1030, 1035, 1036, 1038, 1039, 1059, 1060, 1062, 1063, 1068, 1069, 1071, 1072, 5913

Offset: 0

Antti Karttunen, Mar 19 2017

nonn

Indexing starts from zero, with a(0) = 0.

Cf. A000142, A007489, A030308, A059590, A070939, A276075, A276091, A283477, A283985.

A007489(n) = sum(k=1, n, k!);
A030308(n,k) = bittest(n,k);
A283984(n) = sum(i=0,(#binary(n)-1),A030308(n,i)*A007489(1+i));

(define (A283984 n) (A276075 (A283477 n)))

a(n) = Sum_{i=0..A070939(n)} A030308(n,i)*A007489(1+i).
a(n) = A276075(A283477(n)).
Other identities. For all n >= 0:
a(2^n) = A007489(n+1).

cp's OEIS Frontend

A276339 a(n) = A255411(n) - A276340(n).

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