A003590 Rows of Pascal's triangle written as a single number.

1, 11, 121, 1331, 14641, 15101051, 1615201561, 172135352171, 18285670562881, 193684126126843691, 1104512021025221012045101, 1115516533046246233016555111, 1126622049579292479249522066121, 11378286715128717161716128771528678131

Offset

0,2

Comments

If n<=500, a(n) is prime only for a(1)=11, a(8)=18285670562881, and a(29). - Enrique Pérez Herrero, Jun 05 2010

References

Alfred S. Posamentier, Math Charmers, Tantalizing Tidbits for the Mind, Prometheus Books, NY, 2003, page 273.

Links

Harvey P. Dale, Table of n, a(n) for n = 0..68

Formula

a(n) mod 100 = 1 + 10 * (n mod 10). - Enrique Pérez Herrero, May 27 2010

Maple

a:= n-> parse(cat(seq(binomial(n, k), k=0..n))):
seq(a(n), n=0..15);  # Alois P. Heinz, Jan 15 2024

Mathematica

A003590[i_Integer] := ToExpression[StringJoin[Table[ToString[Binomial[i, j]], {j, 0, i}]]] (* Enrique Pérez Herrero, May 27 2010 *)
FromDigits[Flatten[IntegerDigits/@#]]&/@Table[Binomial[i, j], {i, 0, 15}, {j, 0, i}] (* Harvey P. Dale, Aug 11 2024 *)

Prog

(PARI) A003590(i)={ my(j, a); a=""; for(j=0, i, a=Str(a, binomial(i, j)) ); return(eval(a)); } /* Enrique Pérez Herrero, Jun 03 2010 */

Crossrefs

Cf. A007318.

Sequence in context: A325203 A055479 A195946 * A072051 A092846 A329734

Adjacent sequences: A003587 A003588 A003589 * A003591 A003592 A003593

Keyword

nonn,easy,base

Author

Matthew Wells (mwells(AT)nmt.edu)

Extensions

Offset 0 from Alois P. Heinz, Jan 15 2024

Status

approved