login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A151791
a(1)=1; for n > 1, a(n) = 7*6^(wt(n-1)-1).
6
1, 7, 7, 42, 7, 42, 42, 252, 7, 42, 42, 252, 42, 252, 252, 1512, 7, 42, 42, 252, 42, 252, 252, 1512, 42, 252, 252, 1512, 252, 1512, 1512, 9072, 7, 42, 42, 252, 42, 252, 252, 1512, 42, 252, 252, 1512, 252, 1512, 1512, 9072, 42, 252, 252, 1512, 252, 1512, 1512, 9072, 252
OFFSET
1,2
COMMENTS
wt(n) is the Hamming weight = binary weight of n (A000120).
LINKS
EXAMPLE
From Omar E. Pol, Feb 26 2015: (Start)
Written as an irregular triangle in which the row lengths are the terms of A011782 the sequence begins:
1;
7;
7,42;
7,42,42,252;
7,42,42,252,42,252,252,1512;
7,42,42,252,42,252,252,1512,42,252,252,1512,252,1512,1512,9072;
7,42,42,252,42,252,252,1512,42,252,252,1512,252,1512,1512,9072,42,252,252,1512,252,1512,1512,9072,252,...
It appears that the right border gives A003949.
It appears that the row sums give A000420.
(End)
MATHEMATICA
a[n_] := 7*6^(Total@ IntegerDigits[n - 1, 2] - 1); a[1] = 1; Array[a, 57] (* Michael De Vlieger, Nov 01 2022 *)
CROSSREFS
Cf. A011782, A000120, A000420, A151792 (partial sums).
Sequence in context: A351477 A153721 A286985 * A022667 A143430 A219399
KEYWORD
nonn,tabf
AUTHOR
N. J. A. Sloane, Jun 25 2009
STATUS
approved