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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
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
Sequence in context: A054591 A121153 A276986 * A283985 A275893 A325196
KEYWORD
nonn
AUTHOR
Antti Karttunen, Mar 19 2017
STATUS
approved

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Last modified March 29 11:45 EDT 2024. Contains 371278 sequences. (Running on oeis4.)