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A029938 (p-5)(p-7)/24, where p=prime(n). 3
0, 0, 1, 2, 5, 7, 12, 22, 26, 40, 51, 57, 70, 92, 117, 126, 155, 176, 187, 222, 247, 287, 345, 376, 392, 425, 442, 477, 610, 651, 715, 737, 852, 876, 950, 1027, 1080, 1162, 1247, 1276, 1426, 1457, 1520, 1552, 1751 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,4

COMMENTS

Also the dimension of the space of cusp forms of weight two on Gamma1(p), where p=5, 7, 11, 13, ... ranges over all primes exceeding 3. [Steven Finch, Apr 03 2009]

REFERENCES

F. Hirzebruch et al., Manifolds and Modular Forms, Vieweg, 2nd ed. 1994, p. 161.

LINKS

T. D. Noe, Table of n, a(n) for n=3..1000

FORMULA

a(n) = (A000040(n) - 5)(A000040(n) - 7)/24. - Wesley Ivan Hurt, Feb 25 2014

MAPLE

A029938:=n->(ithprime(n)-5)*(ithprime(n)-7)/24; seq(A029938(n), n=3..60); # Wesley Ivan Hurt, Feb 25 2014

MATHEMATICA

((#-5)(#-7))/24&/@Prime[Range[3, 60]] (* Harvey P. Dale, Feb 01 2012 *)

Table[(Prime[n] - 5) (Prime[n] - 7)/24, {n, 3, 30}] (* Wesley Ivan Hurt, Feb 25 2014 *)

PROG

(MAGMA) [(p-5)*(p-7)/24: p in PrimesInInterval(4, 300)]; // Vincenzo Librandi, Feb 28 2014

CROSSREFS

Cf. A029937 [Steven Finch, Apr 03 2009].

Cf. A000040.

Sequence in context: A042065 A041793 A333068 * A213044 A269769 A230428

Adjacent sequences:  A029935 A029936 A029937 * A029939 A029940 A029941

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified September 23 15:06 EDT 2020. Contains 337310 sequences. (Running on oeis4.)