cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A387424 Partial sums of A387423.

Original entry on oeis.org

0, 1, 2, 4, 6, 6, 8, 11, 14, 16, 19, 21, 23, 25, 27, 31, 33, 34, 37, 38, 41, 44, 48, 51, 54, 58, 62, 62, 64, 68, 72, 77, 82, 87, 92, 96, 98, 103, 108, 111, 113, 118, 121, 124, 128, 132, 137, 141, 145, 150, 155, 158, 160, 164, 169, 172, 177, 182, 185, 190, 192, 196, 200, 206, 211, 215, 218, 224, 230, 234, 238, 244
Offset: 1

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Author

Antti Karttunen, Sep 01 2025

Keywords

Crossrefs

Cf. also A387425.

Programs

  • PARI
    up_to = 65537;
    A387423(n) = { my(a=binary(n), b=binary(sigma(n)), i=1); while(i<=#a,if(a[i]!=b[i],return(#a-(i-1))); i++); (0); };
    A387424list(up_to) = { my(v=vector(up_to)); v[1] = 0; for(n=2,up_to,v[n] = v[n-1]+A387423(n)); (v); };
    v387424 = A387424list(up_to);
    A387424(n) = v387424[n];

Formula

a(1) = 0; for n > 1, a(n) = a(n-1) + A387423(n).
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