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A283984 Sums of distinct nonzero terms of A007489: a(n) = Sum_{k>=0} A030308(n,k)*A007489(1+k). 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

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

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..8191

Index entries for sequences related to binary expansion of n

Index entries for sequences related to factorial base representation

FORMULA

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).

PROG

(PARI)

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));

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

CROSSREFS

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

Sequence in context: A054591 A121153 A276986 * A283985 A275893 A325196

Adjacent sequences:  A283981 A283982 A283983 * A283985 A283986 A283987

KEYWORD

nonn

AUTHOR

Antti Karttunen, Mar 19 2017

STATUS

approved

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Last modified July 29 23:58 EDT 2021. Contains 346346 sequences. (Running on oeis4.)