A000594 (OEIS)

URI: https://gptkb.org/entity/A000594_(OEIS)
GPTKB entity
Statements (39)
Predicate Object
gptkbp:instanceOf integer sequence
gptkbp:alsoKnownAs gptkb:Ramanujan_tau_function_sequence
gptkbp:appearsIn gptkb:modular_discriminant
gptkbp:author gptkb:N._J._A._Sloane
gptkbp:citation gptkb:B._C._Berndt,_Ramanujan's_Notebooks,_Part_III
gptkb:G._H._Hardy,_Ramanujan:_Twelve_Lectures_on_Subjects_Suggested_by_His_Life_and_Work
OEIS Foundation Inc. (2024), The On-Line Encyclopedia of Integer Sequences
gptkbp:eighth_term 84480
gptkbp:field modular forms
number theory
gptkbp:fifthBook 4830
gptkbp:first_terms 1
-24
gptkbp:form q-expansion of the discriminant modular form Δ(q) = q ∏_{n=1}^∞ (1 - q^n)^{24} = ∑_{n=1}^∞ τ(n)q^n
gptkbp:fourthPlace -1472
gptkbp:hasKeyword easy
nice
digital signature
nonn
https://www.w3.org/2000/01/rdf-schema#label A000594 (OEIS)
gptkbp:multiplicative true
gptkbp:ninth_term -113643
gptkbp:OEIS gptkb:A000594
gptkbp:related_mathematician gptkb:Srinivasa_Ramanujan
gptkbp:relatedTo gptkb:Ramanujan_tau_function
modular forms
gptkbp:sequence integer sequence
arithmetic function
multiplicative function
1, -24, 252, -1472, 4830, -6048, -16744, 84480, -113643, 115920, ...
gptkbp:sequence_definition tau(n), the Ramanujan tau function
gptkbp:seventhBook -16744
gptkbp:sixthBook -6048
gptkbp:subject gptkb:Deligne's_proof_of_the_Weil_conjectures
gptkb:Ramanujan_conjectures
gptkbp:tenth_term 115920
gptkbp:thirdPlace 252
gptkbp:bfsParent gptkb:Ramanujan_tau_function
gptkbp:bfsLayer 6