A001026 -id:A001026 - cp's OEIS frontend

A165838 Totally multiplicative sequence with a(p) = 17.

1, 17, 17, 289, 17, 289, 17, 4913, 289, 289, 17, 4913, 17, 289, 289, 83521, 17, 4913, 17, 4913, 289, 289, 17, 83521, 289, 289, 4913, 4913, 17, 4913, 17, 1419857, 289, 289, 289, 83521, 17, 289, 289, 83521, 17, 4913, 17, 4913, 4913, 289, 17, 1419857, 289, 4913

Offset: 1

Jaroslav Krizek, Sep 28 2009

G. C. Greubel, Table of n, a(n) for n = 1..10000

Cf. A001026, A001222.

with(numtheory); A165838:=n->17^bigomega(n); seq(A165838(n), n=1..50); # Wesley Ivan Hurt, Feb 15 2014

Table[17^PrimeOmega[n], {n, 50}] (* Wesley Ivan Hurt, Feb 15 2014 *)

a(n) = A001026(A001222(n)) = 17^bigomega(n) = 17^A001222(n).

A227881 Sum of digits of 17^n.

Original entry on oeis.org

1, 8, 19, 17, 19, 35, 37, 35, 55, 71, 55, 62, 64, 80, 91, 80, 109, 98, 91, 98, 82, 116, 136, 143, 109, 152, 163, 152, 145, 152, 172, 170, 172, 170, 208, 215, 199, 197, 226, 233, 217, 206, 271, 224, 244, 242, 253, 287, 244, 305, 271, 269, 298, 305, 325, 314

Offset: 0

Irene Sermon, Oct 25 2013

			For n = 8, 17^8 = 6975757441 and the digit sum is 55.

Irene Sermon, Table of n, a(n) for n = 0..10000

Cf. A001026, A227871.

Table[Total[IntegerDigits[17^n]], {n, 0, 100}] (* T. D. Noe, Oct 28 2013 *)

a(n) = A007953(A001026(n)).

A038287 Triangle whose (i,j)-th entry is binomial(i,j)8^(i-j)9^j.

Original entry on oeis.org

1, 8, 9, 64, 144, 81, 512, 1728, 1944, 729, 4096, 18432, 31104, 23328, 6561, 32768, 184320, 414720, 466560, 262440, 59049, 262144, 1769472, 4976640, 7464960, 6298560, 2834352, 531441, 2097152, 16515072, 55738368, 104509440, 117573120, 79361856, 29760696, 4782969

Offset: 0

N. J. A. Sloane

			Triangle begins as:
     1;
     8,     9;
    64,   144,    81;
   512,  1728,  1944,   729;
  4096, 18432, 31104, 23328, 6561;
  ...

B. N. Cyvin et al., Isomer enumeration of unbranched catacondensed polygonal systems with pentagons and heptagons, Match, No. 34 (Oct 1996), pp. 109-121.

Cf. A001018 (1st column), A001019 (diagonal), A001026 (row sums).

T[i_,j_]:=Binomial[i,j]*8^(i-j)*9^j; Table[T[i,j],{i,0,7},{j,0,i}]//Flatten (* Stefano Spezia, Sep 05 2025 *)

a(32)-a(35) from Stefano Spezia, Sep 05 2025

cp's OEIS Frontend

A165838 Totally multiplicative sequence with a(p) = 17.

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A227881 Sum of digits of 17^n.

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A038287 Triangle whose (i,j)-th entry is binomial(i,j)8^(i-j)9^j.

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cp's OEIS Frontend

A165838 Totally multiplicative sequence with a(p) = 17.

Views

Author

Keywords

Links

Crossrefs

Programs

Maple

Mathematica

Formula

A227881 Sum of digits of 17^n.

Views

Author

Keywords

Examples

Links

Crossrefs

Programs

Mathematica

Formula

A038287 Triangle whose (i,j)-th entry is binomial(i,j)*8^(i-j)*9^j.

Views

Author

Keywords

Examples

References

Crossrefs

Programs

Mathematica

Extensions

A038287 Triangle whose (i,j)-th entry is binomial(i,j)8^(i-j)9^j.